Return to Colloquia & Seminar listing
Generalized Triangle Inequalities and the Gauss Map
Student-Run Geometry/Topology Seminar| Speaker: | Ezra Gouvea, UC Davis |
| Location: | 2112 MSB |
| Start time: | Thu, Feb 23 2006, 1:10PM |
The distance function of a metric space requires that the side lengths of a geodesic triangle must satisfy the triangle inequality. In Riemannian symmetric spaces with non-positive curvature, there is a vector-valued distance function which can be used to place more general restrictions on polygons in these spaces. I will explain how these restrictions relate to configurations of points on the ideal boundary at infinity.