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

BALKAN, Vladimir

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.

Détails de l'édition

• 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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