Geometry VI
(Sprache: Englisch)
This book treats that part of Riemannian geometry related to more classical topics in a very original, clear and solid style. The author successfully combines the co-ordinate and invariant approaches to differential geometry, giving the reader tools for...
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Klappentext zu „Geometry VI “
This book treats that part of Riemannian geometry related to more classical topics in a very original, clear and solid style. The author successfully combines the co-ordinate and invariant approaches to differential geometry, giving the reader tools for practical calculations as well as a theoretical understanding of the subject.
Inhaltsverzeichnis zu „Geometry VI “
Preface1. Affine Connections
2. Covariant Differentiation. Curvature
3. Affine Mappings. Submanifolds
4. Structural Equations. Local Symmetries
5. Symmetric Spaces
6. Connections on Lie Groups
7./8. Affine Fields and Related Topics
9. Cartan Theorem
10. Palais and Kobayashi Theorems
11. Lagrangians in Riemannian Spaces
12. Metric Properties of Geodesics
13. Harmonic Functionals and Related Topics
14. Minimal Surfaces
15. Curvature in Riemannian Space
16. Gaussian Curvature
17. Some Special Tensors
18. Surfaces with Conformal Structure
19. Mappings and Submanifolds I
20. Submanifolds II
21. Fundamental Forms of a Hypersurface
22. Spaces of Constant Curvature
23. Space Forms
24. Four-Dimensional Manifolds
25. Metrics on a Lie Group I
26. Metrics on a Lie Group II
27. Jacobi Theory
28./29. Some Additional Theorems I and II
Addendum (Chaps.30-36)
For complete Contents see our catalogue at http://www.springer.de/math/
Bibliographische Angaben
- Autor: M.M. Postnikov
- 2001, 504 Seiten, 7 Schwarz-Weiß-Abbildungen, Maße: 15,9 x 24,1 cm, Gebunden, Englisch
- Verlag: Springer
- ISBN-10: 3540411089
- ISBN-13: 9783540411086
- Erscheinungsdatum: 13.03.2001
Sprache:
Englisch
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