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.

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Last Updated: Thu Jun 13 09:46:42 2024

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