Cartan for Beginners: Differential Geometry Via Moving Frames and Exterior Differential Systems (Graduate Studies in Mathematics, 175, Band 175) - Hardcover

Inhaltsangabe

This graduate text introduces exterior differential systems, their application to partial differential equations, and the use of moving frames in algebraic geometry. Three chapters on the Cartan-Kahler theorem derive Cartan’s test for constant coefficient homogeneous systems, linear Pfaffian systems, and non-Pfaffian systems arising in submanifold geometry. The second edition adds three chapters on Riemannian geometry, Darboux-integrable exterior differential systems, and conformal differential geometry. Appendices review linear algebra, representation theory, differential forms, complex manifolds, and the Cauchy-Kowalevski theorem. Annotation ©2017 Ringgold, Inc., Portland, OR (protoview.com)

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