Abstract:
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). JEL: MSC 53C60, 30F60, 53C22.
Description:
BALCAN, Vladimir. Typical geodesics on hyperbolic manifolds of dimension 2. In: Competitivitatea şi inovarea în economia cunoaşterii [online]: culegere de articole ştiinţifice: conf. şt. intern., 25-26 sept. 2020. Chişinău: ASEM, 2020, pp. 454-462. e-ISBN 978-9975-75-985-4.