A non-Sasakian Lefschetz K-contact manifold of Tievsky type

Published 16 Jul 2015 in math.DG and math.AT | (1507.04661v2)

Abstract: We find a family of five dimensional completely solvable compact manifolds that constitute the first examples of $K$-contact manifolds which satisfy the Hard Lefschetz Theorem and have a model of Tievsky type just as Sasakian manifolds but do not admit any Sasakian structure.

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