Manifolds and differential geometry
Lee, Jeffrey M.
Manifolds and differential geometry Jeffrey M. Lee. - Hyderabad : American Mathematical Society, ©2009. - xiv, 671 p. : ill. ; 27 cm. - Graduate studies in mathematics ; v. 107 . - Graduate studies in mathematics ; v. 107. .
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.
9780821887134
2009012421
Geometry, Differential.
Topological manifolds.
Riemannian manifolds.
QA641 / .L38 2009
516.36 / LEE-M
Manifolds and differential geometry Jeffrey M. Lee. - Hyderabad : American Mathematical Society, ©2009. - xiv, 671 p. : ill. ; 27 cm. - Graduate studies in mathematics ; v. 107 . - Graduate studies in mathematics ; v. 107. .
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.
9780821887134
2009012421
Geometry, Differential.
Topological manifolds.
Riemannian manifolds.
QA641 / .L38 2009
516.36 / LEE-M