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Behavior of geodesics, and tilings of hyperbolic space

By Vladimir Balkan

Behavior of geodesics, and tilings of hyperbolic space

0 - Default Title
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.
Product details
Binding:
Paperback
Number of Pages:
112
Release Date:
2025-08-09
Publication Date:
2025-08-09
Publisher:
LAP LAMBERT Academic Publishing
Languages:
Original: English
ISBN10:
6208446678
ISBN13:
9786208446673
GPSR Manufacturer Reference:
[email protected]
Weight:
185 g
Height:
150 cm
Width:
220 cm
Thickness:
7 cm
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