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

2020/01/17 by Bauval, A., Gonçalves, D. L., Hayat, C.
#57N10 55M20 #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.2001.06368

Abstract

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

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