Mehrfach-orthogonale Simplexe in Räumen konstanter Krümmung (Q1059863)

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.