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Naturally reductive metrics and Einstein metrics on compact Lie groups / / J.E. D'Atri and W. Ziller
| Naturally reductive metrics and Einstein metrics on compact Lie groups / / J.E. D'Atri and W. Ziller |
| Autore | D'Atri J. E (Joseph Eugene), <1938-1993, > |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1979] |
| Descrizione fisica | 1 online resource (79 p.) |
| Disciplina |
510/.8 s
516/.362 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Lie groups
Riemannian manifolds Homogeneous spaces Lie algebras |
| ISBN | 1-4704-0450-8 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Table of contents""; ""0. Introduction""; ""1. Preliminaries""; ""2. Naturally reductive metrics on compact Lie groups""; ""3. Isometry groups of left invariant metrics""; ""4. Geometry of naturally reductive left invariant metrics""; ""5. Einstein metrics""; ""6. Noncompact Lie groups""; ""7. Homogeneous spaces"" |
| Record Nr. | UNINA-9910788892303321 |
D'Atri J. E (Joseph Eugene), <1938-1993, >
|
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| Providence, Rhode Island : , : American Mathematical Society, , [1979] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Naturally reductive metrics and Einstein metrics on compact Lie groups / / J.E. D'Atri and W. Ziller
| Naturally reductive metrics and Einstein metrics on compact Lie groups / / J.E. D'Atri and W. Ziller |
| Autore | D'Atri J. E (Joseph Eugene), <1938-1993, > |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1979] |
| Descrizione fisica | 1 online resource (79 p.) |
| Disciplina |
510/.8 s
516/.362 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Lie groups
Riemannian manifolds Homogeneous spaces Lie algebras |
| ISBN | 1-4704-0450-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Table of contents""; ""0. Introduction""; ""1. Preliminaries""; ""2. Naturally reductive metrics on compact Lie groups""; ""3. Isometry groups of left invariant metrics""; ""4. Geometry of naturally reductive left invariant metrics""; ""5. Einstein metrics""; ""6. Noncompact Lie groups""; ""7. Homogeneous spaces"" |
| Record Nr. | UNINA-9910811603503321 |
|
D'Atri J. E (Joseph Eugene), <1938-1993, >
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [1979] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
New developments in lie theory and geometry : Sixth Workshop on Lie Theory and Geometry, November 13-17, 2007 : Cruz Chica, Córdoba, Argentina / / Carolyn S. Gordon [and three others], editors
| New developments in lie theory and geometry : Sixth Workshop on Lie Theory and Geometry, November 13-17, 2007 : Cruz Chica, Córdoba, Argentina / / Carolyn S. Gordon [and three others], editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2009] |
| Descrizione fisica | 1 online resource (363 p.) |
| Disciplina | 512/.482 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Representations of Lie groups
Homogeneous spaces Geometry, Differential |
| Soggetto genere / forma | Electronic books. |
| ISBN |
0-8218-8170-1
0-8218-4651-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Einstein solvmanifolds and nilsolitons""; ""1. Introduction""; ""2. Structure and uniqueness results on Einstein solvmanifolds""; ""3. Technical background""; ""4. Variational approach to Einstein solvmanifolds""; ""5. On the classification of Einstein solvmanifolds""; ""6. Known examples and non examples""; ""7. A stratification for the variety of nilpotent Lie algebras""; ""8. The stratification and the standard condition""; ""9. The stratification and Einstein solvmanifolds via closed orbits""; ""10. Open problems""
""11. Appendix: Real geometric invariant theory""""References""; ""Algebraic sets associated to isoparametric submanifolds""; ""Mostow strong rigidity and nonisomorphism for outer automorphism groups of free groups and mapping class groups""; ""1. Introduction and statements of results""; ""2. Nonisomorphisms between different types of groups""; ""3. Proof of Mostow rigidity for Out(Fn)""; ""4. Proof of Mostow rigidity for Mod+g,p""; ""References""; ""Spectral properties of flat manifolds""; ""1. Introduction""; ""2. Flat manifolds"" ""3. Spectrum and isospectrality of compact flat manifolds""""4. Closed geodesics""; ""5. P-isospectral examples""; ""6. Self-intersection of closed geodesics""; ""7. Poisson summation formulas""; ""8. Flat orbifolds""; ""References""; ""Heat content, heat trace, and isospectrality""; ""LR-algebras""; ""Combinatorial properties of generalized binomial coefficients""; ""Spherical functions for the action of a finite unitary group on a finite Heisenberg group""; ""Application of the Weil representation: diagonalization of the discrete Fourier transform"" ""Infinite dimensional multiplicity free spaces II: Limits of commutative nilmanifolds""""Certain components of Springer fibers: algorithms, examples and applications""; ""Weighted Vogan diagrams associated to real nilpotent orbits""; ""The Gelfand-Zeitlin integrable system and its action on generic elements of gl(n) and so(n)""; ""Closed orbits of semisimple group actions and the real Hilbert-Mumford function""; ""Introduction""; ""Section 1: Moment map and minimal vectors""; ""Section 2: The set of vectors with closed G-orbits""; ""Section 3: The M-function"" ""Section 4: The index method""""Section 5: Examples""; ""References""; ""New techniques for pointed Hopf algebras"" |
| Record Nr. | UNINA-9910480114903321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2009] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
New developments in lie theory and geometry : Sixth Workshop on Lie Theory and Geometry, November 13-17, 2007 : Cruz Chica, Córdoba, Argentina / / Carolyn S. Gordon [and three others], editors
| New developments in lie theory and geometry : Sixth Workshop on Lie Theory and Geometry, November 13-17, 2007 : Cruz Chica, Córdoba, Argentina / / Carolyn S. Gordon [and three others], editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2009] |
| Descrizione fisica | 1 online resource (363 p.) |
| Disciplina | 512/.482 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Representations of Lie groups
Homogeneous spaces Geometry, Differential |
| ISBN |
0-8218-8170-1
0-8218-4651-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Contents -- Preface -- Einstein solvmanifolds and nilsolitons -- 1. Introduction -- 2. Structure and uniqueness results on Einstein solvmanifolds -- 3. Technical background -- 4. Variational approach to Einstein solvmanifolds -- 5. On the classification of Einstein solvmanifolds -- 6. Known examples and non examples -- 7. A stratification for the variety of nilpotent Lie algebras -- 8. The stratification and the standard condition -- 9. The stratification and Einstein solvmanifolds via closed orbits -- 10. Open problems -- 11. Appendix: Real geometric invariant theory -- Algebraic sets associated to isoparametric submanifolds -- Mostow strong rigidity and nonisomorphism for outer automorphism groups of free groups and mapping class groups -- 1. Introduction and statements of results -- 2. Nonisomorphisms between different types of groups -- 3. Proof of Mostow rigidity for Out(Fn) -- 4. Proof of Mostow rigidity for Mod+g,p -- Spectral properties of flat manifolds -- 1. Introduction -- 2. Flat manifolds -- 3. Spectrum and isospectrality of compact flat manifolds -- 4. Closed geodesics -- 5. P-isospectral examples -- 6. Self-intersection of closed geodesics -- 7. Poisson summation formulas -- 8. Flat orbifolds -- Heat content, heat trace, and isospectrality -- LR-algebras -- Combinatorial properties of generalized binomial coefficients -- Spherical functions for the action of a finite unitary group on a finite Heisenberg group -- Application of the Weil representation: diagonalization of the discrete Fourier transform -- Infinite dimensional multiplicity free spaces II: Limits of commutative nilmanifolds -- Certain components of Springer fibers: algorithms, examples and applications -- Weighted Vogan diagrams associated to real nilpotent orbits -- The Gelfand-Zeitlin integrable system and its action on generic elements of gl(n) and so(n) -- Closed orbits of semisimple group actions and the real Hilbert-Mumford function -- Introduction -- Section 1: Moment map and minimal vectors -- Section 2: The set of vectors with closed G-orbits -- Section 3: The M-function -- Section 4: The index method -- Section 5: Examples -- New techniques for pointed Hopf algebras. |
| Record Nr. | UNINA-9910788796903321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2009] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
New developments in lie theory and geometry : Sixth Workshop on Lie Theory and Geometry, November 13-17, 2007 : Cruz Chica, Córdoba, Argentina / / Carolyn S. Gordon [and three others], editors
| New developments in lie theory and geometry : Sixth Workshop on Lie Theory and Geometry, November 13-17, 2007 : Cruz Chica, Córdoba, Argentina / / Carolyn S. Gordon [and three others], editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2009] |
| Descrizione fisica | 1 online resource (363 p.) |
| Disciplina | 512/.482 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Representations of Lie groups
Homogeneous spaces Geometry, Differential |
| ISBN |
0-8218-8170-1
0-8218-4651-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Contents -- Preface -- Einstein solvmanifolds and nilsolitons -- 1. Introduction -- 2. Structure and uniqueness results on Einstein solvmanifolds -- 3. Technical background -- 4. Variational approach to Einstein solvmanifolds -- 5. On the classification of Einstein solvmanifolds -- 6. Known examples and non examples -- 7. A stratification for the variety of nilpotent Lie algebras -- 8. The stratification and the standard condition -- 9. The stratification and Einstein solvmanifolds via closed orbits -- 10. Open problems -- 11. Appendix: Real geometric invariant theory -- Algebraic sets associated to isoparametric submanifolds -- Mostow strong rigidity and nonisomorphism for outer automorphism groups of free groups and mapping class groups -- 1. Introduction and statements of results -- 2. Nonisomorphisms between different types of groups -- 3. Proof of Mostow rigidity for Out(Fn) -- 4. Proof of Mostow rigidity for Mod+g,p -- Spectral properties of flat manifolds -- 1. Introduction -- 2. Flat manifolds -- 3. Spectrum and isospectrality of compact flat manifolds -- 4. Closed geodesics -- 5. P-isospectral examples -- 6. Self-intersection of closed geodesics -- 7. Poisson summation formulas -- 8. Flat orbifolds -- Heat content, heat trace, and isospectrality -- LR-algebras -- Combinatorial properties of generalized binomial coefficients -- Spherical functions for the action of a finite unitary group on a finite Heisenberg group -- Application of the Weil representation: diagonalization of the discrete Fourier transform -- Infinite dimensional multiplicity free spaces II: Limits of commutative nilmanifolds -- Certain components of Springer fibers: algorithms, examples and applications -- Weighted Vogan diagrams associated to real nilpotent orbits -- The Gelfand-Zeitlin integrable system and its action on generic elements of gl(n) and so(n) -- Closed orbits of semisimple group actions and the real Hilbert-Mumford function -- Introduction -- Section 1: Moment map and minimal vectors -- Section 2: The set of vectors with closed G-orbits -- Section 3: The M-function -- Section 4: The index method -- Section 5: Examples -- New techniques for pointed Hopf algebras. |
| Record Nr. | UNINA-9910808664403321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2009] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Non-doubling Ahlfors measures, perimeter measures, and the characterization of the trace spaces of Sobolev functions in Carnot-Carathéodory spaces / / Donatella Danielli, Nicola Garofalo, Duy-Minh Nhieu
| Non-doubling Ahlfors measures, perimeter measures, and the characterization of the trace spaces of Sobolev functions in Carnot-Carathéodory spaces / / Donatella Danielli, Nicola Garofalo, Duy-Minh Nhieu |
| Autore | Danielli Donatella <1966-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2006] |
| Descrizione fisica | 1 online resource (138 p.) |
| Disciplina |
510 s
515/.2433 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Harmonic analysis
Homogeneous spaces Sobolev spaces Measure theory Differential equations, Partial |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0461-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Chapter 4. X-variation, X-perimeter and surface measure""""4.1. The structure of functions in BV[sub(X,loc)]""; ""4.2. X-Caccioppoli sets""; ""4.3. X-perimeter and the perimeter measure""; ""Chapter 5. Geometric estimates from above on CC balls for the perimeter measure""; ""5.1. A fundamental estimate""; ""5.2. The X-perimeter of a C[sup(1,1)] domain is an upper 1-Ahlfors measure""; ""Chapter 6. Geometric estimates from below on CC balls for the perimeter measure""; ""6.1. The relative isoperimetric inequality and Theorem 6.1""; ""6.2. A basic geometric lemma""
""10.2. Characterization of the traces on the boundary""""Chapter 11. The embedding of B[sup(p)][sub(β)](Ω, dÎ?) into L[sup(q)](Ω, dÎ?)""; ""Chapter 12. Returning to Carnot groups""; ""Chapter 13. The Neumann problem""; ""Chapter 14. The case of Lipschitz vector fields""; ""Bibliography"" |
| Record Nr. | UNINA-9910480091603321 |
|
Danielli Donatella <1966->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2006] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Non-doubling Ahlfors measures, perimeter measures, and the characterization of the trace spaces of Sobolev functions in Carnot-Carathéodory spaces / / Donatella Danielli, Nicola Garofalo, Duy-Minh Nhieu
| Non-doubling Ahlfors measures, perimeter measures, and the characterization of the trace spaces of Sobolev functions in Carnot-Carathéodory spaces / / Donatella Danielli, Nicola Garofalo, Duy-Minh Nhieu |
| Autore | Danielli Donatella <1966-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2006] |
| Descrizione fisica | 1 online resource (138 p.) |
| Disciplina |
510 s
515/.2433 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Harmonic analysis
Homogeneous spaces Sobolev spaces Measure theory Differential equations, Partial |
| ISBN | 1-4704-0461-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Chapter 4. X-variation, X-perimeter and surface measure""""4.1. The structure of functions in BV[sub(X,loc)]""; ""4.2. X-Caccioppoli sets""; ""4.3. X-perimeter and the perimeter measure""; ""Chapter 5. Geometric estimates from above on CC balls for the perimeter measure""; ""5.1. A fundamental estimate""; ""5.2. The X-perimeter of a C[sup(1,1)] domain is an upper 1-Ahlfors measure""; ""Chapter 6. Geometric estimates from below on CC balls for the perimeter measure""; ""6.1. The relative isoperimetric inequality and Theorem 6.1""; ""6.2. A basic geometric lemma""
""10.2. Characterization of the traces on the boundary""""Chapter 11. The embedding of B[sup(p)][sub(β)](Ω, dÎ?) into L[sup(q)](Ω, dÎ?)""; ""Chapter 12. Returning to Carnot groups""; ""Chapter 13. The Neumann problem""; ""Chapter 14. The case of Lipschitz vector fields""; ""Bibliography"" |
| Record Nr. | UNINA-9910788742403321 |
|
Danielli Donatella <1966->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2006] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Non-doubling Ahlfors measures, perimeter measures, and the characterization of the trace spaces of Sobolev functions in Carnot-Carathéodory spaces / / Donatella Danielli, Nicola Garofalo, Duy-Minh Nhieu
| Non-doubling Ahlfors measures, perimeter measures, and the characterization of the trace spaces of Sobolev functions in Carnot-Carathéodory spaces / / Donatella Danielli, Nicola Garofalo, Duy-Minh Nhieu |
| Autore | Danielli Donatella <1966-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2006] |
| Descrizione fisica | 1 online resource (138 p.) |
| Disciplina |
510 s
515/.2433 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Harmonic analysis
Homogeneous spaces Sobolev spaces Measure theory Differential equations, Partial |
| ISBN | 1-4704-0461-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Chapter 4. X-variation, X-perimeter and surface measure""""4.1. The structure of functions in BV[sub(X,loc)]""; ""4.2. X-Caccioppoli sets""; ""4.3. X-perimeter and the perimeter measure""; ""Chapter 5. Geometric estimates from above on CC balls for the perimeter measure""; ""5.1. A fundamental estimate""; ""5.2. The X-perimeter of a C[sup(1,1)] domain is an upper 1-Ahlfors measure""; ""Chapter 6. Geometric estimates from below on CC balls for the perimeter measure""; ""6.1. The relative isoperimetric inequality and Theorem 6.1""; ""6.2. A basic geometric lemma""
""10.2. Characterization of the traces on the boundary""""Chapter 11. The embedding of B[sup(p)][sub(β)](Ω, dÎ?) into L[sup(q)](Ω, dÎ?)""; ""Chapter 12. Returning to Carnot groups""; ""Chapter 13. The Neumann problem""; ""Chapter 14. The case of Lipschitz vector fields""; ""Bibliography"" |
| Record Nr. | UNINA-9910812436803321 |
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Danielli Donatella <1966->
|
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| Providence, Rhode Island : , : American Mathematical Society, , [2006] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Projective duality and homogeneous spaces / E. A. Tevelev
| Projective duality and homogeneous spaces / E. A. Tevelev |
| Autore | Tevelev, Evgueni A. |
| Pubbl/distr/stampa | Berlin : Springer, c2005 |
| Descrizione fisica | xiv, 250 p. : ill. ; 25 cm |
| Disciplina | 515.782 |
| Collana | Encyclopaedia of mathematical sciences, 0938-0396 ; 133. Invariant theory and algebraic transformation groups ; 4 |
| Soggetto topico |
Geometry, Projective
Duality theory (Mathematics) Homogeneous spaces |
| ISBN | 3540228985 |
| Classificazione |
AMS 14-XX
LC QA471 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991001000439707536 |
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Tevelev, Evgueni A.
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| Berlin : Springer, c2005 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Sampling, Standards and Homogeneity
| Sampling, Standards and Homogeneity |
| Autore | Kennedy W. R |
| Pubbl/distr/stampa | [Place of publication not identified], : American Society for Testing & Materials, 1973 |
| Descrizione fisica | 1 online resource (131 pages) : illustrations |
| Disciplina | 514 |
| Soggetto topico | Homogeneous spaces |
| ISBN | 0-8031-4632-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910164720003321 |
|
Kennedy W. R
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| [Place of publication not identified], : American Society for Testing & Materials, 1973 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Soggetto topico
-
Homogeneous spaces
(34)
- Lie groups (9)
- Geometry, Differential (7)
- Harmonic analysis (7)
- Homology theory (4)