STAR NON-COMPACT AND COMPACT HYPERBOLIC LENS POLYTOPES

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Date

2014

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Valines SRL

Abstract

In the present work the authors discuss the construction of star complexes over regular maps on hyperbolic manifolds analogously with the construction of star polytopes over regular maps on two- and three-dimensional spheres. In particular, the construction of star polytopes which correspond to equidistant regular hyperbolic polytopes and their factors (lens polytopes) are considered.

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Keywords

regular maps, hyperbolic manifolds, star poly topes, lens polytopes, star complexes

Citation

DAMIAN, F. et al. Star non-compact and compact hyperbolic lens polytopes.In: The Third Conference of Mathematical Society of the Republic of Moldova: dedicated to the 50th anniversary of the foundation of the Institute of Mathematics and Computer Science, 19-23 aug. 2014, Chisinau, Moldova: Proceedings IMCS-50.Ch., 2014, pp.56-59 . ISBN 978-9975-68-244-2

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