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Manifolds and differential geometry / Jeffrey M. Lee.

By: Lee, Jeffrey M. (Jeffrey Marc), 1956-.
Series: Graduate studies in mathematics: v. 107.Publisher: Providence, R.I. : American Mathematical Society, c2009Description: xiv, 671 p. : ill. ; 27 cm.ISBN: 9780821848159 (alk. paper).Subject(s): Geometry, Differential | Topological manifolds | Riemannian manifoldsDDC classification: 516.3/6 Online resources: Full-text here
Contents:
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.
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Item type Current location Call number Status Date due Barcode Item holds
Book Skoltech library
Shelves 		QA641 .L38 2009 (Browse shelf) Available 2000006908
Total holds: 0

Includes bibliographical references and index.

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.

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