Riemannian geometry in an orthogonal frame [[electronic resource] ] : from lectures delivered by Élie Cartan at the Sorbonne in 1926-1927 / / translated from Russian by Vladislav V. Goldberg ; foreword by S. S. Chern |
Autore | Cartan Elie <1869-1951.> |
Pubbl/distr/stampa | River Edge, NJ, : World Scientific, c2001 |
Descrizione fisica | 1 online resource (280 p.) |
Disciplina |
516.3/73
516.373 |
Altri autori (Persone) | FinikovS. P <1883-1964.> (Sergeĭ Pavlovich) |
Soggetto topico |
Geometry, Riemannian
Geometry |
ISBN |
1-281-94803-9
9786611948030 981-279-971-0 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Contents ; Foreword ; Translator's Introduction ; Preface to the Russian Edition ; PRELIMINARIES ; Chapter 1 Method of Moving Frames ; 1. Components of an infinitesimal displacement ; 2. Relations among 1-forms of an orthonormal frame
3. Finding the components of a given family of trihedrons 4. Moving frames ; 5. Line element of the space ; 6. Contravariant and covariant components ; 7. Infinitesimal affine transformations of a frame ; Chapter 2 The Theory of Pfaffian Forms ; 8. Differentiation in a given direction 9. Bilinear covariant of Frobenius 10. Skew-symmetric bilinear forms ; 11. Exterior quadratic forms ; 12. Converse theorems. Cartan's Lemma ; 13. Exterior differential ; Chapter 3 Integration of Systems of Pfaffian Differential Equations ; 14. Integral manifold of a system 15. Necessary condition of complete integrability 16. Necessary and sufficient condition of complete integrability of a system of Pfaffian equations ; 17. Path independence of the solution 18. Reduction of the problem of integration of a completely integrable system to the integration of a Cauchy system 19. First integrals of a completely integrable system ; 20. Relation between exterior differentials and the Stokes formula ; 21. Orientation ; Chapter 4 Generalization 22. Exterior differential forms of arbitrary order |
Record Nr. | UNINA-9910809087603321 |
Cartan Elie <1869-1951.> | ||
River Edge, NJ, : World Scientific, c2001 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Riemannian geometry in an orthogonal frame : from lectures delivered by Élie Cartan at the Sorbonne in 1926-1927 / translated from Russian by Vladislav V. Goldberg ; foreword by S. S. Chern |
Autore | Cartan, Élie Joseph |
Pubbl/distr/stampa | River Edge, NJ : World Scientific, c2001 |
Descrizione fisica | xvii, 259 p. : ill. ; 23 cm |
Disciplina | 516.373 |
Altri autori (Persone) | Finikov, Sergei Pavlovich |
Soggetto topico | Geometry, Riemannian |
ISBN | 9810247478 |
Classificazione |
AMS 53C
LC QA649.C3413 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Titolo uniforme | |
Record Nr. | UNISALENTO-991003695729707536 |
Cartan, Élie Joseph | ||
River Edge, NJ : World Scientific, c2001 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. del Salento | ||
|
Riemannian geometry of contact and symplectic manifolds / David E. Blair |
Autore | Blair, David E. |
Pubbl/distr/stampa | Boston ; Basel ; Berlin : Birkhauser, c2002 |
Descrizione fisica | xii, 260 p. : ill. ; 24 cm. |
Disciplina | 516.373 |
Collana | Progress in mathematics [Birkhauser], ISSN 0743-1643; 203 |
Soggetto topico |
Contact manifolds
Riemannian geometry Symplectic manifolds |
ISBN | 0817642617 |
Classificazione |
AMS 53B35
LC QA614.3.B53 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISALENTO-991003695809707536 |
Blair, David E. | ||
Boston ; Basel ; Berlin : Birkhauser, c2002 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. del Salento | ||
|
Riemannian geometry of contact and symplectiv manifolds / David E. Blair |
Autore | Blair, David E. |
Pubbl/distr/stampa | Boston : Birkhauser, c2002 |
Descrizione fisica | x, 260 p. ; 24 cm |
Disciplina | 516.373 |
Collana | Progress in mathematics |
Soggetto non controllato |
Geometria riemanniana
Geometria simplettica |
ISBN | 0-8176-4261-7 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNINA-990001491310403321 |
Blair, David E. | ||
Boston : Birkhauser, c2002 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Riemannian holonomy groups and calibrated geometry [[electronic resource] /] / Dominic D. Joyce |
Autore | Joyce Dominic D |
Pubbl/distr/stampa | Oxford, : Oxford University Press, 2007 |
Descrizione fisica | 1 online resource (314 p.) |
Disciplina | 516.373 |
Collana | Oxford graduate texts in mathematics |
Soggetto topico |
Geometry, Riemannian
Holonomy groups |
Soggetto genere / forma | Electronic books. |
ISBN |
1-281-14944-6
9786611149444 0-19-152697-5 1-4294-7033-X |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Preface; Contents; 1 Background material; 2 Introduction to connections, curvature and holonomy groups; 3 Riemannian holonomy groups; 4 Calibrated geometry; 5 Kähler manifolds; 6 The Calabi Conjecture; 7 Calabi-Yau manifolds; 8 Special Lagrangian geometry; 9 Mirror symmetry and the SYZ Conjecture; 10 Hyperkähler and quaternionic Kähler manifolds; 11 The exceptional holonomy groups; 12 Associative, coassociative and Cayley submanifolds; References; Index |
Record Nr. | UNINA-9910451624603321 |
Joyce Dominic D | ||
Oxford, : Oxford University Press, 2007 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Riemannian holonomy groups and calibrated geometry [[electronic resource] /] / Dominic D. Joyce |
Autore | Joyce Dominic D |
Pubbl/distr/stampa | Oxford, : Oxford University Press, 2007 |
Descrizione fisica | 1 online resource (314 p.) |
Disciplina | 516.373 |
Collana | Oxford graduate texts in mathematics |
Soggetto topico |
Geometry, Riemannian
Holonomy groups |
ISBN |
1-383-03540-7
1-281-14944-6 9786611149444 0-19-152697-5 1-4294-7033-X |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Preface; Contents; 1 Background material; 2 Introduction to connections, curvature and holonomy groups; 3 Riemannian holonomy groups; 4 Calibrated geometry; 5 Kähler manifolds; 6 The Calabi Conjecture; 7 Calabi-Yau manifolds; 8 Special Lagrangian geometry; 9 Mirror symmetry and the SYZ Conjecture; 10 Hyperkähler and quaternionic Kähler manifolds; 11 The exceptional holonomy groups; 12 Associative, coassociative and Cayley submanifolds; References; Index |
Record Nr. | UNINA-9910777813803321 |
Joyce Dominic D | ||
Oxford, : Oxford University Press, 2007 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Riemannian holonomy groups and calibrated geometry [[electronic resource] /] / Dominic D. Joyce |
Autore | Joyce Dominic D |
Pubbl/distr/stampa | Oxford, : Oxford University Press, 2007 |
Descrizione fisica | 1 online resource (314 p.) |
Disciplina | 516.373 |
Collana | Oxford graduate texts in mathematics |
Soggetto topico |
Geometry, Riemannian
Holonomy groups |
ISBN |
1-383-03540-7
1-281-14944-6 9786611149444 0-19-152697-5 1-4294-7033-X |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Preface; Contents; 1 Background material; 2 Introduction to connections, curvature and holonomy groups; 3 Riemannian holonomy groups; 4 Calibrated geometry; 5 Kähler manifolds; 6 The Calabi Conjecture; 7 Calabi-Yau manifolds; 8 Special Lagrangian geometry; 9 Mirror symmetry and the SYZ Conjecture; 10 Hyperkähler and quaternionic Kähler manifolds; 11 The exceptional holonomy groups; 12 Associative, coassociative and Cayley submanifolds; References; Index |
Record Nr. | UNINA-9910813269803321 |
Joyce Dominic D | ||
Oxford, : Oxford University Press, 2007 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Riemannian holonomy groups and calibrated geometry / Dominic D. Joyce |
Autore | Joyce, Dominic D. |
Pubbl/distr/stampa | Oxford : Oxford University Press, 2007 |
Descrizione fisica | ix, 303 p. : ill. ; 24 cm |
Disciplina | 516.373 |
Collana | Oxford graduate texts in mathematics, 0072-5285 ; 12 |
Soggetto topico |
Geometry, Riemannian
Holonomy groups |
ISBN |
9780199215607 (hbk.)
9780199215591 (pbk.) |
Classificazione |
AMS 53C38
LC QA649.J69 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISALENTO-991003452599707536 |
Joyce, Dominic D. | ||
Oxford : Oxford University Press, 2007 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. del Salento | ||
|
Riemannian manifolds : an introduction to curvature / John M. Lee |
Autore | Lee, John M. |
Pubbl/distr/stampa | New York [etc.] : Springer, c1997 |
Descrizione fisica | XV, 224 p. : ill. ; 24 cm. |
Disciplina | 516.373 |
Collana | Graduate texts in mathematics |
Soggetto topico | Geometria riemanniana |
ISBN | 0-387-98271-X |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNIBAS-000012172 |
Lee, John M. | ||
New York [etc.] : Springer, c1997 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. della Basilicata | ||
|
Riemannian Manifolds : an introduction to curvature / John M. Lee |
Autore | LEE, John M. |
Pubbl/distr/stampa | Berlino, : Springer-Verlag, c1997 |
Descrizione fisica | XV,224 p. : ill. ; 23 cm |
Disciplina | 516.373 |
Collana | Graduate texts in mathematics |
Soggetto topico |
Geometria riemanniana
Varietà di Riemann |
ISBN | 0-387-98271-X |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISA-990000195320203316 |
LEE, John M. | ||
Berlino, : Springer-Verlag, c1997 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. di Salerno | ||
|