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arXiv · 1710.10735

Generalization of Schlafli formula to the volume of a spherically faced simplex

Kazuhiko Aomoto·Yoshinori Machida
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Abstract

We present two identities (contiguity relation and variation formula) concerning the volume of a spherically faced simplex in the Euclidean space. These identities are described in terms of Cayley-Menger determinants and their differentials involved with hypersphere arrangements. They are derived as a limit of fundamental identities for hypergeometric integrals.

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BibTeXRIS

Kazuhiko Aomoto, Yoshinori Machida. 2017-10-30. Generalization of Schlafli formula to the volume of a spherically faced simplex. https://arxiv.org/abs/1710.10735

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