Differential geometry : connections, curvature, and characteristic classes / Loring W. Tu
Type de document : MonographieCollection : Graduate texts in mathematics, 275Langue : anglais.Pays: Swisse.Éditeur : Cham : Springer, 2017Description : 1 vol. (XVI-346 p.) : fig. ; 24 cmISBN: 9783319550824.ISSN: 0072-5285.Bibliographie : Bibliogr. p. 335-336. Index.Sujet MSC : 53-01, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to differential geometry53B20, Local differential geometry, Local Riemannian geometry
53C20, Global differential geometry, Global Riemannian geometry, including pinching
53C05, Global differential geometry, Connections, general theory
57R20, Manifolds and cell complexes, Characteristic classes and numbers in differential topologyEn-ligne : Zentralblatt | MSN
| Item type | Current library | Call number | Status | Date due | Barcode |
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Monographie
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CMI Salle 1 | 53 TU (Browse shelf(Opens below)) | Available | 12623-01 |
The present textbook is a graduate-level introduction to differential geometry that follows the historical development of the concepts of connection and curvature, with the goal of explaining the Chern-Weil theory of characteristic classes on a principal bundle. The goal, once fixed, dictates the choice of topics. Starting with directional derivatives in a Euclidean space, the author introduces and successively generalizes the concepts of connection and curvature from a tangent bundle to a vector bundle and finally to a principal bundle. Along the way we encounter some of the high points in the history of differential geometry, for example, Gauss’ Theorema Egregium and Gauss-Bonnet theorem. ... (zbMath)
Bibliogr. p. 335-336. Index
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