MAT415: Differential Geometry | 6 credits (40-20-0) |
Objectives
To treat differential geometry in two or three dimensions.
Contents
Curves in 2 and 3 dimensions: Properties; Manifolds; Jordan's closed curve theorem; Tensor algebra; Exterior differentiation; Transformation of vector fields; Affine connections; Riemannian connection; Riemannian manifolds.
Prerequisite:
MAT303