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
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|Books||IIITD General Stacks||Mathematics||516.36 LEE-M (Browse shelf)||Available||008427|
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|516.36 CAR-D Differential geometry of curves and surfaces||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.