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Nikolay Abrosimov——The volume of a compact hyperbolic tetrahedron in terms of its edges
发布人:许全华  发布时间:2019-10-21   浏览次数:72

题目The volume of a compact hyperbolic tetrahedron in terms of its edges


报告人Nikolay Abrosimov(Sobolev Institute of  Mathematics and Novosibirsk State University)


时间:11月1日,15:30-16:30


地点:明德楼B区201学术报告厅


摘要In general, the problem is to find an exact formula for the volume of a hyperbolic polyhedron of prescribed combinatorial type. This is a very hard problem indeed. In general formulation, it was solved only for an arbitrary hyperbolic tetrahedron, which is a polyhedron of the simplest combinatorial type. The problem is still open for hyperbolic octahedra, hexahedra, etc. Moreover, all known formulas for arbitrary hyperbolic tetrahedron are expressing the volume in terms of its dihedral angles. In the present work, we obtain a general formula, which expresses the volume of a compact hyperbolic tetrahedron in terms of its edge lengths.