Some Centrally Symmetric Manifolds

Dipendu Maity; Ashish Kumar Upadhyay

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arXiv · 1402.4231

Some Centrally Symmetric Manifolds

Dipendu Maity·Ashish Kumar Upadhyay

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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.

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Dipendu Maity, Ashish Kumar Upadhyay. 2014-02-18. Some Centrally Symmetric Manifolds. https://arxiv.org/abs/1402.4231

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