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

Autori
Veljan, Darko

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Skup
Mathematical Inequalities and Applications 2008

Mjesto i datum
Trogir, Hrvatska, 08.06.2008. - 14.06.2008

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
non-Euclidean geometry; geometric inequalities

Sažetak
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.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA