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Manifolds and differential geometry
By: Lee, Jeffrey M.
Material type:
BookSeries: 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.
| Item type | Current location | Collection | Call number | Status | Date due | Barcode | Item holds |
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IIITD General Stacks | Mathematics | 516.36 LEE-M (Browse shelf) | Available | 008427 |
Total holds: 0
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| 516.36 BOO-I An introduction to differentiable manifolds and Riemannian geometry | 516.36 EIS-N Non-Riemannian geometry | 516.36 LAN-F Fundamentals of differential geometry | 516.36 LEE-M Manifolds and differential geometry | 516.36 MIC-T Topics in differential geometry | 516.36 PRE-E Elementary differential geometry | 516.36 TAP-D Differential geometry of curves and surfaces |
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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