Tilings in Hyperbolic Space in an Arbitrary Dimension - BALKAN, Vladimir
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Of a special interest are tilings in hyperbolic n-space. The present work studies tilings in hyperbolic n-space of arbitrary dimension by polytopes. The best behaved tilings are the face-to-face tilings by convex polytopes. 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 n, (n 2) by compact and non-compact polytopes and we describe their discrete isometry groups and properties. Torsion free groups are especially important.

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Produktbeschreibung
Of a special interest are tilings in hyperbolic n-space. The present work studies tilings in hyperbolic n-space of arbitrary dimension by polytopes. The best behaved tilings are the face-to-face tilings by convex polytopes. 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 n, (n 2) by compact and non-compact polytopes and we describe their discrete isometry groups and properties. Torsion free groups are especially important.
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Autorenporträt
Associated Professor of Mathematics, Academy of Economic Studies of Moldova. Main field of research is discrete geometry, hyperbolic geometry, author of more 100 publications. His publications cover a topics including: Tilings of the spaces of constant negative curvature, Hyperbolic manifolds, Behavior of geodesics on hyperbolic manifolds.