TY - BOOK
AU - Lee,Jeffrey M.
TI - Manifolds and differential geometry
T2 - Graduate studies in mathematics
SN - 9780821887134
AV - QA641 .L38 2009
U1 - 516.36 22
PY - 2009///
CY - Hyderabad
PB - American Mathematical Society
KW - Geometry, Differential
KW - Topological manifolds
KW - Riemannian manifolds
N1 - 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
ER -