Title: Some two-dimensional manifolds with affine connections (13 pages)
Detail: Geometry reading group, California Institute of Technology, Fall 1995 - Winter 1996

Original manuscript: 1995/11/28

These notes present the canonical two-dimensional manifolds with Riemannian connections. These are the Euclidean plane, the two-dimensional sphere, and the hyperbolic plane. For each manifold, the geodesics are computed as well as the curvature and other interesting geometric quantities.

330K pdf
Last Updated: Wed Jun 14 07:38:25 2017

Andrew D. Lewis (andrew at mast.queensu.ca)