Dettaglio del documento
1.B: Riemannian geometry and isometric immersions
Fa parte di
Differential geometry
, 1.B
Abstract
This book, Differential Geometry: Riemannian Geometry and Isometric Immersions (Book I-B), is the second in a captivating series of four books presenting a choice of topics, among fundamental and more advanced in differential geometry (DG).
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Starting with the basics of semi-Riemannian geometry, the book aims to develop the understanding of smooth 1-parameter variations of geodesics of, and correspondingly of, Jacobi fields. A few algebraic aspects required by the treatment of the Riemann–Christoffel four-tensor and sectional curvature are successively presented. Ricci curvature and Einstein manifolds are briefly discussed. The Sasaki metric on the total space of the tangent bundle over a Riemannian manifold is built, and its main properties are investigated. An important integration technique on a Riemannian manifold, related to the geometry of geodesics, is presented for further applications. (Estratto dal sito dell'editore)
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| eBook | ||
| Monografia | ||
| Descrizione | 1.B: *Riemannian geometry and isometric immersions / Elisabetta Barletta ... [et al.]. - Singapore : Springer, 2025. - 1 testo elettronico (xvi, 591 p. : ill.) | |
| ISBN E-Book | 9789819616312 | |
| Collana | Infosys Science Foundation Series in Mathematical Sciences. Subseries | |
| Fa parte di | Differential geometry , 1.B | |
| Autore secondario |
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| Soggetti | 53Cxx - Global differential geometry [MSC 2020] | |
| 53Z05 - Applications of differential geometry to physics [MSC 2020] | ||
| Parole chiave |
Einstein Manifolds
Isometric Immersions Ricci Curvatures Riemannian geometry Riemann–Christofel Four-tensor Sasaki Metric Smooth 1-parameter Variations of Geodesics Sobolev Inequalities on Submanifolds Tangent bundles |
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| Luogo pubblicazione | Singapore | |
| Editori | Springer <editore> | |
| Anno pubblicazione | 2025 | |
| Thesauri | 53Cxx | |
| 53Z05 | ||
| Applications of differential geometry to physics [MSC 2020] | ||
| Global differential geometry [MSC 2020] |