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Notes on Differential Geometry and Lie Groups by Jean Gallier

Notes on Differential Geometry and Lie Groups

Notes on Differential Geometry and Lie Groups by Jean Gallier
Notes on Differential Geometry and Lie Groups by Jean Gallier
Publisher: University of Pennsylvania 2010
Contents: Introduction to Manifolds and Lie Groups; Review of Groups and Group Actions; Manifolds; Construction of Manifolds From Gluing Data; Lie Groups, Lie Algebra, Exponential Map; The Derivative of exp and Dynkin's Formula; Bundles, Riemannian Metrics, Homogeneous Spaces; Differential Forms; Integration on Manifolds; Distributions and the Frobenius Theorem; Connections and Curvature in Vector Bundles; Geodesics on Riemannian Manifolds; Curvature in Riemannian Manifolds; etc.
Mathematics Geometry & Topology Differential Geometry Lie Groups
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