English

The Borsuk-Ulam theorem for closed 3-dimensional manifolds having Nil Geometry

Geometric Topology 2020-01-20 v1

Abstract

Let M be a closed, connected 3-manifold which admits Nil geometry, we determine all free involutions τ{\tau} on M and the Borsuk-Ulam index of (M,τ)(M,{\tau}).

Keywords

Cite

@article{arxiv.2001.06368,
  title  = {The Borsuk-Ulam theorem for closed 3-dimensional manifolds having Nil Geometry},
  author = {A. Bauval and D. L. Gonçalves and C. Hayat},
  journal= {arXiv preprint arXiv:2001.06368},
  year   = {2020}
}