Some Centrally Symmetric Manifolds
Abstract
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- February 2014
- DOI:
- 10.48550/arXiv.1402.4231
- arXiv:
- arXiv:1402.4231
- Bibcode:
- 2014arXiv1402.4231M
- Keywords:
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- Mathematics - Geometric Topology;
- Mathematics - Combinatorics;
- 52B70;
- 57M20
- E-Print:
- 18 pages