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Information Center for Mathematical Science

세미나

Information Center for Mathematical Science

세미나

2019 서울대학교 수리과학부 세미나
Title Non - Euclidean versions of some classical theorems in the low-dimensional geometry
Date 2019-01-31
Speaker Alexander Mednykh(Sobolev Institute of Mathematics, Novosibirsk State University)
Sponsors 2019-01-31
Host SNU
Place 129-301
Abstract The starting point of the lecture is the classical Heron’s formula that relates the area of a triangle to its side lengths.We discuss its non-euclidean versions know for a long time. Then we describe possible statements of the Brahmagupta’s formula for area of an inscribed quadrilateral on the Euclidean, spherical and hyperbolic planes. The natural generalization of these results is the Bretschneider for area of an arbitrary quadrilateral. The next subject will be the Pythagorus theorem for triangles and tetrahedrons in all the three spaces of constant curvature. We discuss also some other identities for triangles and tetrahedrons with addition properties.