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Generalized Triangle Inequalities and the Gauss Map
Student-Run Geometry/Topology| Speaker: | Ezra Gouvea, UC Davis |
| Location: | 2112 MSB |
| Start time: | Thu, Feb 23 2006, 1:10PM |
Description
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.