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A Schläfli
differential formula for simplices in semi-riemannian
hyperquadrics, Gauss-Bonnet formulas for simplices in the de
Sitter sphere and the dual volume of a hyperbolic simplex
Eva Suárez-Peiró |
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Vol. 194 (2000), No. 1, 229–255
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Abstract |
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In this paper we prove a Schläfli differential formula for the volume of simplices in central unit hyperquadrics of semi-Euclidean space ℝqn+1. Then we apply this result to obtain Gauss-Bonnet formulas for simplices with riemannian faces in the de Sitter sphere, and to generalize a formula of L. Santaló relating the volume of a hyperbolic simplex with the measure of the set of hyperbolic hyperplanes intersecting it. |
Milestones
Received: 17 July 1997
Revised: 21 March 1999
Published: 1 May 2000
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Authors |
| Eva Suárez-Peiró | |
| Mathematisches Institut der
Universität Tübingen Auf der Morgenstelle 10 72076 Tübingen Germany |
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