Mehrfach-orthogonale Simplexe in Räumen konstanter Krümmung
type: Item
instance of: scholarly article
title: Mehrfach-orthogonale Simplexe in Räumen konstanter Krümmung
zbMATH Open document ID: 0567.51020
author: Heiner Kaiser
published in: Beiträge zur Algebra und Geometrie
publication date: 1985-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/138298
review text: In the geometry of polyhedra in spaces of constant curvature, Schläfli's orthoschemes play an essential role, especially for the theory of volume. In the present paper, the author defines classes of simplices possessing a chain of edges that satisfy only part of the orthogonality relations characterizing orthoschemes. He investigates their properties, particularly orthogonality of angles, subsimplices, and orthogonal degeneration in the elliptic case.
reviewed by: Rolf Schneider
Mathematics Subject Classification ID: 51M20
Mathematics Subject Classification ID: 52Bxx
zbMATH DE Number: 3905342
zbMATH Keywords: polyhedra
zbMATH Keywords: spaces of constant curvature
zbMATH Keywords: Schläfli's orthoschemes
zbMATH Keywords: simplices
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3905342