engleski

Non-Euclidean Geometric Inequalities - in Geometry, Topology and Physics

In this talk we shall recall and provide short (and some new) proofs of some classical triangle inequalities and prove corresponding non-Euclidean, i.e. spherical and hyperbolic versions of these inequalities. Among them are the well known Euler’ s inequality, Rouche’ s inequality (also known as the "fundamental triangle inequality"), Finsler-Hadwiger’ s inequality, isoperimetric triangle inequality and others. We shall also emphasize the relations and problems related to 3-dimensional geometric-topological problems, which in turn are important in physics.

non-Euclidean geometry; geometric inequalities

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