Continuity of the Volume of Simplices in Classical Geometry
Geometric Topology
2007-05-23 v1 Mathematical Physics
Metric Geometry
math.MP
Abstract
It is proved that the volume of spherical or hyperbolic simplices, when considered as a function of the dihedral angles, can be extended continuously to degenerated simplices.
Keywords
Cite
@article{arxiv.math/0412208,
title = {Continuity of the Volume of Simplices in Classical Geometry},
author = {Feng Luo},
journal= {arXiv preprint arXiv:math/0412208},
year = {2007}
}
Comments
19 pages