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

Abstract

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

References in corpus (2)

• The Borsuk-Ulam theorem for maps into a surface
• Reidemeister-Schreier's Algorithm For 2-Coverings of Seifert Manilfolds

Cited by in corpus (1)

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