Name: Behavior of geodesics, and tilings of hyperbolic space (en Inglés)
SKU: 66205948
Price: 79190.00 CLP
Availability: InStock
Author: Balkan, Vladimir
ISBN: 9786208446673

portada Behavior of geodesics, and tilings of hyperbolic space (en Inglés)

Behavior of geodesics, and tilings of hyperbolic space (en Inglés)

Formato

Libro Físico

Editorial

LAP Lambert Academic Publishing

Autor

Balkan, Vladimir

Idioma

Inglés

N° páginas

112

Encuadernación

Tapa Blanda

Dimensiones

22.9x15.2x0.7 cm

ISBN13

9786208446673

Behavior of geodesics, and tilings of hyperbolic space (en Inglés)

Balkan, Vladimir (Autor) · LAP Lambert Academic Publishing · Tapa Blanda

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Reseña del libro "Behavior of geodesics, and tilings of hyperbolic space (en Inglés)"

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.