Tilings in Hyperbolic Space in an Arbitrary Dimension - DE

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.

Über den Autor / die Autorin

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.

Produktdetails

• Autoren: Vladimir BALKAN
• Verlag: LAP Lambert Academic Publishing
• Sprache: Englisch
• Produktform: Taschenbuch
• Erschienen: 13.08.2024
• EAN: 9786207842315
• ISBN: 9786207842315
• Seiten: 68
• Thema: Naturwissenschaften, Medizin, Informatik, Technik > Mathematik > Geometrie