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