VLADIMIR BALCAN

THE BEHAVIOR OF GEODESICS IN TWO-DIMENSIONAL HYPERBOLIC MANIFOLDS

• Broschiertes Buch

Produktbeschreibung

The main purpose of this work is the given a new constructive method for solving the problem of the behavior of geodesic on hyperbolic surfaces of genus g, k punctures and with n geodesic boundary components. At first:1) we obtain a complete classification of all possible geodesic curves on the simplest hyperbolic 2-manifolds (hyperbolic horn; hyperbolic cylinder; parabolic horn (cusp), hyperbolic pants); 2) on surface of genus 2; Finally: 3) on compact closed hyperbolic surface without boundarie (general case); 4) on hyperbolic surface of genus g and with n geodesic boundary components; 5) on hyperbolic 1-punctured torus; on generalized hyperbolic pants; in general case: for any punctured hyperbolic surface of genus g and k punctures; 6) in the most general case: or in any hyperbolic surface of genus g, k punctures and with n boundary curves.

Produktdetails

• Verlag: LAP Lambert Academic Publishing
• Seitenzahl: 52
• Erscheinungstermin: 18. Juli 2023
• Englisch
• Abmessung: 220mm x 150mm x 4mm
• Gewicht: 96g
• ISBN-13: 9786206751267
• ISBN-10: 6206751260
• Artikelnr.: 68521251

Autorenporträt

Associated Professor of Mathematics, Academy of Economic Studies of Moldova. Main field of research is discrete geometry, hyperbolic geometry, author of more 80 publications. His publications cover a topics including: Tilings of the spaces of constant negative curvature, Hyperbolic manifolds, Behavior of geodesics on hyperbolic two manifolds.