Continuity of the Volume of Simplices in Classical Geometry

Details Continuity of the Volume of Simplices in Classical Geometry Continuity of the Volume of Simplices in Classical Geometry

2004-12-10

arxiv.org/abs/math/0412208v1

Mathematics

Geometric Topology

19 pages

Scientific paper

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.

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