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math.GT2020★ 2 cited
The Borsuk-Ulam theorem for closed 3-dimensional manifolds having Nil Geometry
A. Bauval, D. L. Gonçalves, C. Hayat
Let M be a closed, connected 3-manifold which admits Nil geometry, we determine all free involutions on M and the Borsuk-Ulam index of .
math.GT2018★ 4 cited
The Borsuk-Ulam theorem for the Seifert manifolds having flat geometry
A. Bauval, D. L. Gonçalves, C. Hayat
Let M be a Seifert manifold which belongs to the geometry Flat. In this work we determine all the free involutions τ on M, and the Borsuk-Ulam indice of (M,τ).
math.GT2008
Classifications of special double-coverings associated to a non-orientable surface
Anne Bauval, Claude Hayat
This paper investigates some actions "à la Johnson" on the set, denoted by , of Spin-structures which are interpreted as special double-coverings of a trivial fibra…