Manifolds and differential geometry
Lee, Jeffrey M.
Manifolds and differential geometry Jeffrey M. Lee - Providence, R.I. : American Mathematical Society, c2009 - xiv, 671 p. ill. 27 cm - Graduate studies in mathematics ; vol. 107 . - Graduate studies in mathematics ; .
Bibliografie p. 663
Index p. 667
Differentiable manifolds -- The tangent structure -- Immersion and submersion -- Curves and hypersurfaces in Euclidean space -- Lie groups -- Fiber bundles -- Tensors -- Differential forms -- Integration and Stokes' theorem -- De Rham cohomology -- Distributions and Frobenius' theorem -- Connections and covariant derivatives -- Riemannian and semi-Riemannian geometry -- Appendix A: The language of category theory -- Appendix B: Topology -- Appendix C: Some calculus theorems -- Appendix D: Modules and multilinearity.
eng
9780821848159 (alk. paper) 0821848151 (alk. paper)
2009012421
Geometry, Differential.
Topological manifolds.
Riemannian manifolds.
QA641
516.36
Manifolds and differential geometry Jeffrey M. Lee - Providence, R.I. : American Mathematical Society, c2009 - xiv, 671 p. ill. 27 cm - Graduate studies in mathematics ; vol. 107 . - Graduate studies in mathematics ; .
Bibliografie p. 663
Index p. 667
Differentiable manifolds -- The tangent structure -- Immersion and submersion -- Curves and hypersurfaces in Euclidean space -- Lie groups -- Fiber bundles -- Tensors -- Differential forms -- Integration and Stokes' theorem -- De Rham cohomology -- Distributions and Frobenius' theorem -- Connections and covariant derivatives -- Riemannian and semi-Riemannian geometry -- Appendix A: The language of category theory -- Appendix B: Topology -- Appendix C: Some calculus theorems -- Appendix D: Modules and multilinearity.
eng
9780821848159 (alk. paper) 0821848151 (alk. paper)
2009012421
Geometry, Differential.
Topological manifolds.
Riemannian manifolds.
QA641
516.36