Articles liés à Behavior of geodesics, and tilings of hyperbolic space

Behavior of geodesics, and tilings of hyperbolic space - Couverture souple

BALKAN, Vladimir

 
9786208446673: Behavior of geodesics, and tilings of hyperbolic space
Couverture souple
ISBN 10 : 6208446678 ISBN 13 : 9786208446673
Editeur : LAP LAMBERT Academic Publishing, 2025

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Éditeur
LAP LAMBERT Academic Publishing
Date d'édition
2025
Langue
anglais
ISBN 10 
6208446678
ISBN 13 
9786208446673
Reliure
Broché
Nombre de pages
112
Coordonnées du fabricant
non disponible
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