Author | Postnikov, M. M. author |
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Title | Geometry VI [electronic resource] : Riemannian Geometry / by M. M. Postnikov |
Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2001 |
Connect to | http://dx.doi.org/10.1007/978-3-662-04433-9 |
Descript | XVIII, 504 p. online resource |
1. Affine Connections -- 2. Covariant Differentiation. Curvature -- 3. Affine Mappings. Submanifolds -- 4. Structural Equations. Local Symmetries -- 5. Symmetric Spaces -- 6. Connections on Lie Groups -- 7. Lie Functor -- 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. Some Additional Theorems I -- 29. Some Additional Theorems II -- Addendum -- 30. Smooth Manifolds -- 31. Tangent Vectors -- 32. Submanifolds of a Smooth Manifold -- 33. Vector and Tensor Fields. Differential Forms -- 34. Vector Bundles -- 35. Connections on Vector Bundles -- 36. Curvature Tensor -- Bianchi Identity -- Suggested Reading