Geometry of Differential Forms Shigeyuki Morita
Publisher: American Mathematical Society

Working with differential forms in Calculus & Beyond Homework is being discussed at Physics Forums. The study of Lie groups forms an important branch of group theory and is of relevance to other branches of mathematics. DG - Clifford Algebra / Differential Forms in Differential Geometry is being discussed at Physics Forums. Early differential geometers studied such properties of curves and surfaces such as: .. Any recommendations for a textbook that apply these ideas to gauge theory ? I 've been reading about Homotopy , homology and abstract lie groups and diff.forms and I would like to see those beautiful ideas applied on a Nonabelian Gauge Theory . Principal theorems and applications of differential. I'm currently working through a differential geometry book that uses Clifford's algebra instead of differential forms. CARTAN'S LEMMAS ON DIFFERENTIAL FORMS. Differential forms, Differential Geometry, 8. Integrals of differential forms play a fundamental role in modern differential geometry. This applications demonstrates some of the new functionality in Maple 16 for working with abstractly defined differential forms, general relativity, and Lie algebras. Definitions of curvature, curvature tensor; Second fundamental form; Sectional and Ricci curvature; Jacobi fields. It is only later on, when calculus became more algebraic in outlook that one can begin to make a meaningful separation between the subjects of calculus and differential geometry. Applying Algebraic Topology , Geometry and Differential Geometry in nonabelian gauge in High Energy, Nuclear, Particle Physics is being discussed at Physics Forums.