Triangulated Manifolds with Few Vertices: Centrally Symmetric Spheres and Products of Spheres
Abstract
The aim of this paper is to give a survey of the known results concerning centrally symmetric polytopes, spheres, and manifolds. We further enumerate nearly neighborly centrally symmetric spheres and centrally symmetric products of spheres with dihedral or cyclic symmetry on few vertices, and we present an infinite series of vertextransitive nearly neighborly centrally symmetric 3spheres.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 April 2004
 DOI:
 10.48550/arXiv.math/0404465
 arXiv:
 arXiv:math/0404465
 Bibcode:
 2004math......4465L
 Keywords:

 Mathematics  Metric Geometry;
 Mathematics  Combinatorics;
 52B05;
 52B12;
 57Q15
 EPrint:
 26 pages, 8 figures