Typical geodesics on hyperbolic manifolds of dimension 2
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2021-12-05 09:39
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BALCAN, Vladimir. Typical geodesics on hyperbolic manifolds of dimension 2. In: Competitivitatea şi inovarea în economia cunoaşterii, 25-26 septembrie 2020, Chişinău. Chişinău Republica Moldova: Departamentul Editorial-Poligrafic al ASEM, 2020, Ediţia a 22-a , pp. 454-462. ISBN 978-9975-75-985-4.
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Competitivitatea şi inovarea în economia cunoaşterii
Ediţia a 22-a , 2020
Conferința "Competitivitate şi inovare în economia cunoaşterii"
Chişinău, Moldova, 25-26 septembrie 2020

Typical geodesics on hyperbolic manifolds of dimension 2

JEL: MSC 53C60,30F60,53C22

Pag. 454-462

Balcan Vladimir
 
Academy of Economic Studies of Moldova
 
 
Disponibil în IBN: 30 noiembrie 2020


Rezumat

Let M be a complete hyperbolic surface of genus g, with k punctures and n boundary geodesics. In this paper we investigate typical behavior of geodesics for some hyperbolic 2-manifolds, and discuss some extension of those results to the case of a arbitrary hyperbolic surfaces(on a closed orientable hyperbolic surface M of genus g at least 2, in the case of non-compact hyperbolic surface and for a compact hyperbolic surface with non-empty boundary).

Cuvinte-cheie
behavior of geodesics, the multilateral, the method of colour multilaterals, hyperbolic right angled hexagon, hyperbolic right angled octagon pair pants (meaning surfaces of signature (0,3)). hyperbolic surface with genus g, k puncture and n geodesic boundaries