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Manifolds and differential geometry

By: Lee, Jeffrey M.
Material type: materialTypeLabelBookSeries: Graduate studies in mathematics: v. 107.Publisher: Hyderabad : American Mathematical Society, ©2009Description: xiv, 671 p. : ill. ; 27 cm.ISBN: 9780821887134.Subject(s): Geometry, Differential | Topological manifolds | Riemannian manifolds
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 Collection Call number Status Date due Barcode Item holds
Books Books IIITD
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Mathematics 516.36 LEE-M (Browse shelf) Available 008427
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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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