MA 56200, Fall 2022
Introduction To Differential Geometry And Topology
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.
||An Introduction to Differentiable Manifolds and Riemannian Geometry, Revised
||William M. Boothby,William Munger Boothby
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