{"product_id":"the-behavior-of-geodesics-in-two-dimensional-hyperbolic-manifolds-von-vladimir-balcan","title":"THE BEHAVIOR OF GEODESICS IN TWO-DIMENSIONAL HYPERBOLIC MANIFOLDS","description":"\u003cp\u003eThe 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.\u003c\/p\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9786206751267\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Softcover - 9786206751267","offer_id":46947852681541,"sku":"9786206751267","price":36.9,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/986ffe1a-47bd-413d-a159-e6ce0617eb4e.jpg?v=1765348616","url":"https:\/\/shop.autorenwelt.de\/en\/products\/the-behavior-of-geodesics-in-two-dimensional-hyperbolic-manifolds-von-vladimir-balcan","provider":"Autorenwelt Shop","version":"1.0","type":"link"}