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Metric foliations and curvature / Detlef Gromoll, Gerard Walschap
| Metric foliations and curvature / Detlef Gromoll, Gerard Walschap |
| Autore | Gromoll, Detlef |
| Pubbl/distr/stampa | Basel ; Boston ; Berlin : Birkhäuser, c2009 |
| Descrizione fisica | viii, 174 p. : ill. ; 24 cm |
| Disciplina | 516.373 |
| Altri autori (Persone) | Walschap, Gerardauthor |
| Collana | Progress in mathematics [Birkhauser], 0743-1643 ; 268 |
| Soggetto topico |
Foliations (Mathematics)
Riemannian manifolds Curvature Geometry, Differential |
| ISBN | 9783764387143 |
| Classificazione |
AMS 53C12
AMS 57R30 LC QA613.62.G76 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991000620529707536 |
Gromoll, Detlef
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| Basel ; Boston ; Berlin : Birkhäuser, c2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Metric spaces, convexity and nonpositive curvature / Athanase Papadopoulos
| Metric spaces, convexity and nonpositive curvature / Athanase Papadopoulos |
| Autore | Papadopoulos, Athanase |
| Pubbl/distr/stampa | Zürich : European Mathematical Society, c2005 |
| Descrizione fisica | xi, 287 p. : ill. ; 24 cm |
| Disciplina | 514.325 |
| Collana | IRMA lectures in mathematics and theoretical physics ; 6 |
| Soggetto topico |
Metric spaces
Convex domains Curvature Geodesics (Mathematics) |
| ISBN | 3037190108 |
| Classificazione |
AMS 53C21
AMS 53C22 AMS 52A41 LC QA611.28.P37 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991000331369707536 |
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Papadopoulos, Athanase
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| Zürich : European Mathematical Society, c2005 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
Metrics of positive scalar curvature and generalised Morse functions Part I / / Mark Walsh
| Metrics of positive scalar curvature and generalised Morse functions Part I / / Mark Walsh |
| Autore | Walsh Mark |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2010 |
| Descrizione fisica | 1 online resource (80 p.) |
| Disciplina | 516.3/62 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Curvature
Morse theory Riemannian manifolds Algebraic topology |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0597-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Abstract""; ""Introduction""; ""0.1. Background""; ""0.2. Main results""; ""0.3. The connection with generalised Morse functions and Part II""; ""0.4. Acknowledgements""; ""Chapter 1. Definitions and Preliminary Results""; ""1.1. Isotopy and concordance in the space of metrics of positive scalar curvature""; ""1.2. Warped product metrics on the sphere""; ""1.3. Torpedo metrics on the disk""; ""1.4. Doubly warped products and mixed torpedo metrics""; ""1.5. Inducing a mixed torpedo metric with an embedding""; ""Chapter 2. Revisiting the Surgery Theorem""
""2.1. Surgery and cobordism""""2.2. Surgery and positive scalar curvature""; ""2.3. Outline of the proof of Theorem 2.3""; ""2.4. Part 1 of the proof: Curvature formulae for the first deformation""; ""2.5. Part 2 of the proof: A continuous bending argument""; ""2.6. Part 3 of the proof: Isotoping to a standard product""; ""2.7. Applying Theorem 2.3 over a compact family of psc-metrics""; ""2.8. The proof of Theorem 2.2 (The Improved Surgery Theorem)""; ""Chapter 3. Constructing Gromov-Lawson Cobordisms""; ""3.1. Morse Theory and admissible Morse functions"" ""3.2. A reverse Gromov-Lawson cobordism""""3.3. Continuous families of Morse functions""; ""Chapter 4. Constructing Gromov-Lawson Concordances""; ""4.1. Applying the Gromov-Lawson technique over a pair of cancelling surgeries""; ""4.2. Cancelling Morse critical points: The Weak and Strong Cancellation Theorems""; ""4.3. A strengthening of Theorem 4.2""; ""4.4. Standardising the embedding of the second surgery sphere""; ""Chapter 5. Gromov-Lawson Concordance Implies Isotopy for Cancelling Surgeries""; ""5.1. Connected sums of psc-metrics"" ""5.2. An analysis of the metric g'', obtained from the second surgery""""5.3. The proof of Theorem 5.1""; ""Chapter 6. Gromov-Lawson Concordance Implies Isotopy in the General Case""; ""6.1. A weaker version of Theorem 0.8""; ""6.2. The proof of the main theorem""; ""Appendix: Curvature Calculations from the Surgery Theorem""; ""Bibliography"" |
| Record Nr. | UNINA-9910480096203321 |
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Walsh Mark
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| Providence, Rhode Island : , : American Mathematical Society, , 2010 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Metrics of positive scalar curvature and generalised Morse functions Part I / / Mark Walsh
| Metrics of positive scalar curvature and generalised Morse functions Part I / / Mark Walsh |
| Autore | Walsh Mark |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2010 |
| Descrizione fisica | 1 online resource (80 p.) |
| Disciplina | 516.3/62 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Curvature
Morse theory Riemannian manifolds Algebraic topology |
| ISBN | 1-4704-0597-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Abstract""; ""Introduction""; ""0.1. Background""; ""0.2. Main results""; ""0.3. The connection with generalised Morse functions and Part II""; ""0.4. Acknowledgements""; ""Chapter 1. Definitions and Preliminary Results""; ""1.1. Isotopy and concordance in the space of metrics of positive scalar curvature""; ""1.2. Warped product metrics on the sphere""; ""1.3. Torpedo metrics on the disk""; ""1.4. Doubly warped products and mixed torpedo metrics""; ""1.5. Inducing a mixed torpedo metric with an embedding""; ""Chapter 2. Revisiting the Surgery Theorem""
""2.1. Surgery and cobordism""""2.2. Surgery and positive scalar curvature""; ""2.3. Outline of the proof of Theorem 2.3""; ""2.4. Part 1 of the proof: Curvature formulae for the first deformation""; ""2.5. Part 2 of the proof: A continuous bending argument""; ""2.6. Part 3 of the proof: Isotoping to a standard product""; ""2.7. Applying Theorem 2.3 over a compact family of psc-metrics""; ""2.8. The proof of Theorem 2.2 (The Improved Surgery Theorem)""; ""Chapter 3. Constructing Gromov-Lawson Cobordisms""; ""3.1. Morse Theory and admissible Morse functions"" ""3.2. A reverse Gromov-Lawson cobordism""""3.3. Continuous families of Morse functions""; ""Chapter 4. Constructing Gromov-Lawson Concordances""; ""4.1. Applying the Gromov-Lawson technique over a pair of cancelling surgeries""; ""4.2. Cancelling Morse critical points: The Weak and Strong Cancellation Theorems""; ""4.3. A strengthening of Theorem 4.2""; ""4.4. Standardising the embedding of the second surgery sphere""; ""Chapter 5. Gromov-Lawson Concordance Implies Isotopy for Cancelling Surgeries""; ""5.1. Connected sums of psc-metrics"" ""5.2. An analysis of the metric g'', obtained from the second surgery""""5.3. The proof of Theorem 5.1""; ""Chapter 6. Gromov-Lawson Concordance Implies Isotopy in the General Case""; ""6.1. A weaker version of Theorem 0.8""; ""6.2. The proof of the main theorem""; ""Appendix: Curvature Calculations from the Surgery Theorem""; ""Bibliography"" |
| Record Nr. | UNINA-9910788859803321 |
|
Walsh Mark
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2010 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Metrics of positive scalar curvature and generalised Morse functions Part I / / Mark Walsh
| Metrics of positive scalar curvature and generalised Morse functions Part I / / Mark Walsh |
| Autore | Walsh Mark |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2010 |
| Descrizione fisica | 1 online resource (80 p.) |
| Disciplina | 516.3/62 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Curvature
Morse theory Riemannian manifolds Algebraic topology |
| ISBN | 1-4704-0597-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Abstract""; ""Introduction""; ""0.1. Background""; ""0.2. Main results""; ""0.3. The connection with generalised Morse functions and Part II""; ""0.4. Acknowledgements""; ""Chapter 1. Definitions and Preliminary Results""; ""1.1. Isotopy and concordance in the space of metrics of positive scalar curvature""; ""1.2. Warped product metrics on the sphere""; ""1.3. Torpedo metrics on the disk""; ""1.4. Doubly warped products and mixed torpedo metrics""; ""1.5. Inducing a mixed torpedo metric with an embedding""; ""Chapter 2. Revisiting the Surgery Theorem""
""2.1. Surgery and cobordism""""2.2. Surgery and positive scalar curvature""; ""2.3. Outline of the proof of Theorem 2.3""; ""2.4. Part 1 of the proof: Curvature formulae for the first deformation""; ""2.5. Part 2 of the proof: A continuous bending argument""; ""2.6. Part 3 of the proof: Isotoping to a standard product""; ""2.7. Applying Theorem 2.3 over a compact family of psc-metrics""; ""2.8. The proof of Theorem 2.2 (The Improved Surgery Theorem)""; ""Chapter 3. Constructing Gromov-Lawson Cobordisms""; ""3.1. Morse Theory and admissible Morse functions"" ""3.2. A reverse Gromov-Lawson cobordism""""3.3. Continuous families of Morse functions""; ""Chapter 4. Constructing Gromov-Lawson Concordances""; ""4.1. Applying the Gromov-Lawson technique over a pair of cancelling surgeries""; ""4.2. Cancelling Morse critical points: The Weak and Strong Cancellation Theorems""; ""4.3. A strengthening of Theorem 4.2""; ""4.4. Standardising the embedding of the second surgery sphere""; ""Chapter 5. Gromov-Lawson Concordance Implies Isotopy for Cancelling Surgeries""; ""5.1. Connected sums of psc-metrics"" ""5.2. An analysis of the metric g'', obtained from the second surgery""""5.3. The proof of Theorem 5.1""; ""Chapter 6. Gromov-Lawson Concordance Implies Isotopy in the General Case""; ""6.1. A weaker version of Theorem 0.8""; ""6.2. The proof of the main theorem""; ""Appendix: Curvature Calculations from the Surgery Theorem""; ""Bibliography"" |
| Record Nr. | UNINA-9910827647903321 |
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Walsh Mark
|
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| Providence, Rhode Island : , : American Mathematical Society, , 2010 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Modern approaches to discrete curvature [e-book] / Laurent Najman, Pascal Romon, editors
| Modern approaches to discrete curvature [e-book] / Laurent Najman, Pascal Romon, editors |
| Descrizione fisica | 1 online resource (xxvi, 353 pages) : illustrations (some color) |
| Disciplina | 516.11 |
| Altri autori (Persone) |
Najman, Laurentauthor
Romon, Pascalauthor |
| Collana | Lecture notes in mathematics, 0075-8434 ; 2184 |
| Soggetto topico |
Discrete geometry
Curvature |
| ISBN | 9783319580029 |
| Classificazione |
AMS 53-06
LC QA640.7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991003575739707536 |
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
|
Motion by mean curvature and related topics [[electronic resource] ] : proceedings of the international conference held at Trento, July 20-24, 1992 / / edited by Giuseppe Buttazzo and Augusto Visintin
| Motion by mean curvature and related topics [[electronic resource] ] : proceedings of the international conference held at Trento, July 20-24, 1992 / / edited by Giuseppe Buttazzo and Augusto Visintin |
| Edizione | [Reprint 2011] |
| Pubbl/distr/stampa | Berlin ; ; New York, : Walter de Gruyter, 1994 |
| Descrizione fisica | 1 online resource (228 p.) |
| Disciplina | 516.3/62 |
| Altri autori (Persone) |
ButtazzoGiuseppe
VisintinA (Augusto) |
| Collana | De Gruyter Proceedings in Mathematics |
| Soggetto topico |
Geometric measure theory
Minimal surfaces Curvature |
| Soggetto genere / forma | Electronic books. |
| ISBN | 3-11-087047-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Introduction -- Table of Contents -- A phase-field model with a double obstacle potential / Bloweyl, J.F. / Elliott, C.M. -- Cahn and Hilliard fluid on an oscillating boundary / Bouchitté, G. / Seppecher, P. -- Mathematical models of phase boundaries in alloys: Phase field and Sharp interface / Caginalp, G. / Xie, W. -- New ideas in Calculus of Variations and Geometric Measure Theory / Giorgi, Ennio De -- The minimum time problem and its applications to front propagation / Falcone, M. -- Planar motion of an anisotropic interface / Gurtin, Morton E. -- Singular limit for an Allen-Cahn equation with a nonlocal term / Hilhorst, Danielle / Logak, Elisabeth / Nishiura, Yasumasa -- Axiomatization of shape analysis and application to texture hyperdiscrimination / Lopez, C. / Morel, J.M. -- Variational approximation of the geometric motion of fronts / Nochetto, Ricardo Η. / Paolini, Maurizio / Rovida, Sergio / Verdi, Claudio -- On radial growth in crystallization theories of hyperbolic nature / Podio-Guidugli, P. / Caffarelli, G. Vergara -- Physics and Geometry of Flow under Curvature: Singularity Formation, Minimal Surfaces, Geodesies, and Surface Tension / Sethian, James A. / Chopp, David L. -- Computing hypersurfaces which minimize surface energy plus bulk energy / Sullivan, John M. -- Boundary regularity for flows of nonparametric surfaces driven by mean curvature / Uraltseva, Nina N. -- Some questions of De Giorgi about mean curvature flow of triply-periodic surfaces / White, Brian -- List of Contributors -- List of Participants |
| Record Nr. | UNINA-9910462523503321 |
| Berlin ; ; New York, : Walter de Gruyter, 1994 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Motion by mean curvature and related topics [[electronic resource] ] : proceedings of the international conference held at Trento, July 20-24, 1992 / / edited by Giuseppe Buttazzo and Augusto Visintin
| Motion by mean curvature and related topics [[electronic resource] ] : proceedings of the international conference held at Trento, July 20-24, 1992 / / edited by Giuseppe Buttazzo and Augusto Visintin |
| Edizione | [Reprint 2011] |
| Pubbl/distr/stampa | Berlin ; ; New York, : Walter de Gruyter, 1994 |
| Descrizione fisica | 1 online resource (228 p.) |
| Disciplina | 516.3/62 |
| Altri autori (Persone) |
ButtazzoGiuseppe
VisintinA (Augusto) |
| Collana | De Gruyter Proceedings in Mathematics |
| Soggetto topico |
Geometric measure theory
Minimal surfaces Curvature |
| ISBN | 3-11-087047-9 |
| Classificazione | SK 370 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Introduction -- Table of Contents -- A phase-field model with a double obstacle potential / Bloweyl, J.F. / Elliott, C.M. -- Cahn and Hilliard fluid on an oscillating boundary / Bouchitté, G. / Seppecher, P. -- Mathematical models of phase boundaries in alloys: Phase field and Sharp interface / Caginalp, G. / Xie, W. -- New ideas in Calculus of Variations and Geometric Measure Theory / Giorgi, Ennio De -- The minimum time problem and its applications to front propagation / Falcone, M. -- Planar motion of an anisotropic interface / Gurtin, Morton E. -- Singular limit for an Allen-Cahn equation with a nonlocal term / Hilhorst, Danielle / Logak, Elisabeth / Nishiura, Yasumasa -- Axiomatization of shape analysis and application to texture hyperdiscrimination / Lopez, C. / Morel, J.M. -- Variational approximation of the geometric motion of fronts / Nochetto, Ricardo Η. / Paolini, Maurizio / Rovida, Sergio / Verdi, Claudio -- On radial growth in crystallization theories of hyperbolic nature / Podio-Guidugli, P. / Caffarelli, G. Vergara -- Physics and Geometry of Flow under Curvature: Singularity Formation, Minimal Surfaces, Geodesies, and Surface Tension / Sethian, James A. / Chopp, David L. -- Computing hypersurfaces which minimize surface energy plus bulk energy / Sullivan, John M. -- Boundary regularity for flows of nonparametric surfaces driven by mean curvature / Uraltseva, Nina N. -- Some questions of De Giorgi about mean curvature flow of triply-periodic surfaces / White, Brian -- List of Contributors -- List of Participants |
| Record Nr. | UNINA-9910785813803321 |
| Berlin ; ; New York, : Walter de Gruyter, 1994 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Motion by mean curvature and related topics [[electronic resource] ] : proceedings of the international conference held at Trento, July 20-24, 1992 / / edited by Giuseppe Buttazzo and Augusto Visintin
| Motion by mean curvature and related topics [[electronic resource] ] : proceedings of the international conference held at Trento, July 20-24, 1992 / / edited by Giuseppe Buttazzo and Augusto Visintin |
| Edizione | [Reprint 2011] |
| Pubbl/distr/stampa | Berlin ; ; New York, : Walter de Gruyter, 1994 |
| Descrizione fisica | 1 online resource (228 p.) |
| Disciplina | 516.3/62 |
| Altri autori (Persone) |
ButtazzoGiuseppe
VisintinA (Augusto) |
| Collana | De Gruyter Proceedings in Mathematics |
| Soggetto topico |
Geometric measure theory
Minimal surfaces Curvature |
| ISBN | 3-11-087047-9 |
| Classificazione | SK 370 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Introduction -- Table of Contents -- A phase-field model with a double obstacle potential / Bloweyl, J.F. / Elliott, C.M. -- Cahn and Hilliard fluid on an oscillating boundary / Bouchitté, G. / Seppecher, P. -- Mathematical models of phase boundaries in alloys: Phase field and Sharp interface / Caginalp, G. / Xie, W. -- New ideas in Calculus of Variations and Geometric Measure Theory / Giorgi, Ennio De -- The minimum time problem and its applications to front propagation / Falcone, M. -- Planar motion of an anisotropic interface / Gurtin, Morton E. -- Singular limit for an Allen-Cahn equation with a nonlocal term / Hilhorst, Danielle / Logak, Elisabeth / Nishiura, Yasumasa -- Axiomatization of shape analysis and application to texture hyperdiscrimination / Lopez, C. / Morel, J.M. -- Variational approximation of the geometric motion of fronts / Nochetto, Ricardo Η. / Paolini, Maurizio / Rovida, Sergio / Verdi, Claudio -- On radial growth in crystallization theories of hyperbolic nature / Podio-Guidugli, P. / Caffarelli, G. Vergara -- Physics and Geometry of Flow under Curvature: Singularity Formation, Minimal Surfaces, Geodesies, and Surface Tension / Sethian, James A. / Chopp, David L. -- Computing hypersurfaces which minimize surface energy plus bulk energy / Sullivan, John M. -- Boundary regularity for flows of nonparametric surfaces driven by mean curvature / Uraltseva, Nina N. -- Some questions of De Giorgi about mean curvature flow of triply-periodic surfaces / White, Brian -- List of Contributors -- List of Participants |
| Record Nr. | UNINA-9910823350303321 |
| Berlin ; ; New York, : Walter de Gruyter, 1994 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Neckpinch dynamics for asymmetric surfaces evolving by mean curvature flow / / Gang Zhou, Dan Knopf, Israel Michael Sigal
| Neckpinch dynamics for asymmetric surfaces evolving by mean curvature flow / / Gang Zhou, Dan Knopf, Israel Michael Sigal |
| Autore | Gang Zhou (Mathematics professor) |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2018] |
| Descrizione fisica | 1 online resource (90 pages) |
| Disciplina | 516.3/62 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Evolution equations - Asymptotic theory
Asymptotic expansions Curvature Singularities (Mathematics) |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-4415-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910480730203321 |
|
Gang Zhou (Mathematics professor)
|
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| Providence, Rhode Island : , : American Mathematical Society, , [2018] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Soggetto topico
-
Curvature
(53)
- Riemannian manifolds (15)
- Geometry, Differential (10)
- Geometry, Riemannian (6)
- Minimal surfaces (4)