Differential Geometry and Lie Groups: A Second Course

by Jean Gallier

Book Overview

1. Tensor Algebras.- 2. Exterior Tensor Powers and Exterior Algebras.- 3. Differential Forms.- 4. Distributions and the Frobenius Theorem.- 5. Integration on Manifolds.- 6. Spherical Harmonics and Linear Representations.- 7. Operators on Riemannian Manifolds.- 8. Bundles, Metrics on Bundles, Homogeneous Spaces.- 9. Connections and Curvature in Vector Bundles.- 10. Clifford Algebras, Clifford Groups, Pin and Spin.

• Format: Paperback
• Language: English
• ISBN: 3030460495
• ISBN13: 9783030460495
• Release Date: August 2021
• Publisher: Springer
• Length: 620 Pages
• Weight: 1.94 lbs.
• Dimensions: 1.3" x 6.1" x 9.2"