{"product_id":"balkan-vladimir-behavior-of-geodesics-and-tilings-of-hyperbolic-space-9786208446673","title":"Behavior of geodesics, and tilings of hyperbolic space","description":"The presented work is a research in the field of the geometry of two-dimensional hyperbolic (equipped with a metric of constant negative curvature) manifolds and studies tilings in hyperbolic n-space of arbitrary dimension by polytopes. In part one we introduce a new method (method of colour multilaterals) to describe the global behavior of geodesics on a arbitrary hyperbolic manifolds of dimension two. The best behaved tilings are the face-to-face tilings by convex polytopes. Of a special interest are tilings in hyperbolic n-space. In part two the main results of this publication are obtained for tilings (isohedral, non-isohedral, face-to-face, non- face-to-face) in the hyperbolic n-space of arbitrary dimension for any , () by compact and non-compact polytopes and we describe their discrete isometry groups and properties. Torsion free groups are especially important.","brand":"LAP LAMBERT Academic Publishing","offers":[{"title":"Default Title","offer_id":53735589019990,"sku":null,"price":0.0,"currency_code":"EUR","in_stock":false}],"url":"https:\/\/www.momoxbooks.com\/products\/balkan-vladimir-behavior-of-geodesics-and-tilings-of-hyperbolic-space-9786208446673","provider":"momoxbooks","version":"1.0","type":"link"}