eBook Name : Foundations of Differential Geometry

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Contents: Differentiable Manifolds; Submersions and Immersions; Vector Fields and Flows; Lie Groups; Vector Bundles; Differential Forms; Integration on Manifolds; De Rham cohomology; Cohomology with compact supports and Poincare duality; De Rham cohomology of compact manifolds; Derivations on the Algebra of Differential Forms; Fiber Bundles and Connections; Principal Fiber Bundles and G-Bundles; Principal and Induced Connections; Characteristic classes; Jets.


File Name: Foundations of Differential Geometry - P. Michor.pdf

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