Combinatorial optimization in geometry
Abstract
We study the moduli space of euclidean structures with cone points on a surface, and describe a decomposition into cells each of which corresponds to a given combinatorial type of Delaunay tessellation. We use some of the ideas to study hyperbolic structures on three-dimensional manifolds
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- July 1999
- DOI:
- arXiv:
- arXiv:math/9907032
- Bibcode:
- 1999math......7032R
- Keywords:
-
- Mathematics - Geometric Topology;
- Mathematical Physics;
- Mathematics - Differential Geometry;
- Mathematics - Mathematical Physics;
- Mathematics - Optimization and Control;
- 52B10;
- 52B70;
- 57M50;
- 81T40;
- 68U05
- E-Print:
- 27 pages, 1996 preprint