%0 Journal Article
%T Some Centrally Symmetric Manifolds
%A Dipendu Maity
%A Ashish Kumar Upadhyay
%J Mathematics
%D 2014
%I arXiv
%X We show existence of centrally symmetric maps on surfaces all of whose faces are quadrangles and pentagons for each orientable genus $g \geq 0$. We also show existence of centrally symmetric maps on surfaces all of whose faces are hexagons for each orientable genus $g = 2k-1$, $k\in \mathbb{N}$. We enumerate centrally symmetric triangulated manifolds of dimensions 2 and 3 with few vertices.
%U http://arxiv.org/abs/1402.4231v1