This article is cited in 6 papers

Research papers

Solving the Seidel problem on the volume of hyperbolic tetrahedron

N. V. Abrosimov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences

Abstract: We investigate Seidel conjecture on volumes of hyperbolic and spherical tetrahedra. In the present paper we solve negatively the Extended Seidel problem formed by I. Rivin and F. Luo.

Keywords: Seidel conjecture, hyperbolic volume, tetrahedron.

UDC: 514.13, 514.132

MSC: 51M10, 51M20, 51M25

Received June 1, 2009, published September 10, 2009

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