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홈 > 학술정보 >학술행사 > 세미나
2019 서울대학교 수리과학부 세미나

Title
Non - Euclidean versions of some classical theorems in the low-dimensional geometry
Speaker
Alexander Mednykh   (Sobolev Institute of Mathematics, Novosibirsk State University )
Date
2019-01-31 11:00:00
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.
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