Aspects of differential geometry III
保存先:
| 主要な著者: | , , , , |
|---|---|
| フォーマット: | Livre papier |
| 言語: | Anglais |
| 出版事項: |
[San Rafael, California] :
Morgan & Claypool Publishers
C 2017.
|
| シリーズ: | Synthesis lectures on mathematics and statistics
|
| 主題: | |
| 注記: |
"Differential Geometry is a wide field. We have chosen to concentrate upon certain aspects that are appropriate for an introduction to the subject; we have not attempted an encyclopedic treatment. Book III is aimed at the first-year graduate level but is certainly accessible to advanced undergraduates. It deals with invariance theory and discusses invariants both of Weyl and not of Weyl type; the Chern-Gauss-Bonnet formula is treated from this point of view. Homothety homogeneity, local homogeneity, stability theorems, and Walker geometry are discussed. Ricci solitons are presented in the contexts of Riemannian, Lorentzian, and affine geometry."--Back cover Autres auteurs : JeongHyeong Park,... Ramón Vázquez-Lorenzo,... |
| Autres localisations: | Voir dans le Sudoc |
| LEADER | 02917nam a22003497a 4500 | ||
|---|---|---|---|
| 001 | 832671 | ||
| 008 | 190522t20172017xxe ||| |||| 00| 0 eng d | ||
| 009 | PPN236023780 | ||
| 020 | |a 9781627056861 | ||
| 024 | |a 9781627056861 | ||
| 041 | 0 | |a eng | |
| 082 | |a 516.36 | ||
| 084 | |a 53-01. 2010 | ||
| 084 | |a 53C20. 2010 | ||
| 084 | |a 53C22. 2010 | ||
| 084 | |a 58A05. 2010 | ||
| 100 | 1 | |a Calviño-Louzao, Esteban. | |
| 245 | 1 | 0 | |a Aspects of differential geometry III |c Esteban Calviño-Louzao,... Eduardo García-Río,... Peter Gilkey,... [et al.]. |
| 260 | |a [San Rafael, California] : |b Morgan & Claypool Publishers. | ||
| 260 | |c C 2017. | ||
| 300 | |a 1 vol. (xiii-145 pages) : |b ill. e, coul. ; |c 24 cm. | ||
| 490 | 0 | |a Synthesis lectures on mathematics and statistics |x 1938-1743 | |
| 500 | |a "Differential Geometry is a wide field. We have chosen to concentrate upon certain aspects that are appropriate for an introduction to the subject; we have not attempted an encyclopedic treatment. Book III is aimed at the first-year graduate level but is certainly accessible to advanced undergraduates. It deals with invariance theory and discusses invariants both of Weyl and not of Weyl type; the Chern-Gauss-Bonnet formula is treated from this point of view. Homothety homogeneity, local homogeneity, stability theorems, and Walker geometry are discussed. Ricci solitons are presented in the contexts of Riemannian, Lorentzian, and affine geometry."--Back cover | ||
| 500 | |a Autres auteurs : JeongHyeong Park,... Ramón Vázquez-Lorenzo,... | ||
| 504 | |a Bibliogr. pages 127-137. Index | ||
| 505 | 0 | |a 9. Invariance theory -- 9.1 Review of affine and Riemannian geometry -- 9.2 Invariance theory in the Riemannian setting -- 9.3 The Chern-Gauss-Bonnet formula -- 9.4 Pseudo-Kähler manifolds -- 9.5 VSI manifolds -- 9.6 Invariants that are not of Weyl type -- 10. Homothety homogeneity and local homogeneity -- 10.1 Introduction -- 10.2 Classification results -- 10.3 Completeness -- 10.4 3-Dimensional Walker Lorentzian manifolds I: Curvature homogeneity -- 10.5 Walker Lorentzian manifolds II: Homothety curvature homogeneity -- 10.6 Stability -- 10.7 Locally homogeneous metric g-structures -- 11. Ricci solitons -- 11.1 Introduction -- 11.2 Riemanian homogeneous Ricci almost solitons -- 11.3 Lorentzian homogeneous gradient Ricci solitons -- 11.4 Riemannian locally conformally flat gradient Ricci solitons -- 11.5 Lorentzian locally conformally flat gradient Ricci solitons -- 11.6 Neutral signature self-dual gradient Ricci almost solitons -- Bibliography -- Authors' biographies -- Index | |
| 650 | |a Géométrie différentielle | ||
| 700 | 1 | |a García-Río, Eduardo. |4 aut | |
| 700 | 1 | |a Gilkey, Peter Belden, |d 1946- |4 aut | |
| 700 | 1 | |a Park, Jeonghyeong, |d 19. |4 aut | |
| 700 | 1 | |a Vázquez-Lorenzo, Rámon. |4 aut | |
| 997 | |0 832671 |1 Livre papier |a Ressource papier |c 0/Orléans/ |c 1/Orléans/IDP/ |z Orléans, IDP, 9163 CAL | ||