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arXiv · 2011.00657

The Borsuk-Ulam theorem for closed $3$-manifolds having geometry $S^2\times \R$

A. Bauval·D. L. \ Gonçalves·C. Hayat·P. Zvengrowski
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Abstract

Let $M$ be a closed 3-manifold which admits the geometry $S^2\times \R$. In this work we determine all the free involutions $\tau$ on $M$, and the Borsuk-Ulam index of $(M,\tau)$.

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A. Bauval, D. L. \ Gonçalves, C. Hayat, P. Zvengrowski. 2020-11-02. The Borsuk-Ulam theorem for closed $3$-manifolds having geometry $S^2\times \R$. https://arxiv.org/abs/2011.00657

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