Differential Geometry and Lie Groups: A Second Course (Paperback, 2020)

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.