MA 56200, Fall 2017

Course Description

Credit Hours: 3.00. Smooth manifolds; tangent vectors; inverse and implicit function theorems; submanifolds; vector fields; integral curves; differential forms; the exterior derivative; DeRham cohomology groups; surfaces in E3., Gaussian curvature; two dimensional Riemannian geometry; Gauss-Bonnet and Poincare theorems on vector fields. Typically offered Fall.

Instructor Info.

Section Room Time Instructor Office
MA 56200 002 REC 313 2:30pm MWF Li, Chi MATH 734

Course Materials

Section Type Title Author
ALL Textbook An Introduction to Differentiable Manifolds and Riemannian Geometry, Revised, Volume 120, Second Edition (Pure and Applied Mathematics) (2) William M. Boothby
ALL Textbook Riemannian Geometry and Geometric Analysis (03) Jurgen Jost

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