Taras Kolomatski, Department of Pure Mathematics, University of Waterloo
Abstract
Last time we proved that Gaussian curvature depends only on the metric and explored some interesting consequences of this fact in architecture. In this talk, I will develop the geodesic equations on a surface and prove that the difference between sum of interior angles in a geodesic triangle and pi is measured by integrating curvature over the interior of the triangle.
MC 5403