Differential Geometry and Lie Groups

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.

Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.

• Geometria diferencial e riemaniana
• Análise numérica
• Grupos e teoria do grupo

Differential geometry for computing;Differential geometry for geometry processing;Differential geometry textbook;differential geometry for computer vision;differential geometry for robotics;differential geometry for machine learning;Tensor algebra;Differential forms;Frobenius theorem;Tensor products;Stokes' theorem;Clifford algebras;Clifford groups;Spherical harmonics;Riemannian manifolds;Pinor and Spinor groups;Pin group;Spin group;Vector bundles;Curvature form