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

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.

10 pages, to appear in Proceedings of the American Mathematical Society

References in corpus (1)

• Homology Smale-Barden manifolds with K-contact and Sasakian structures

Cited by in corpus (5)

• Homology Smale-Barden manifolds with K-contact and Sasakian structures
• Quasi-regular Sasakian and K-contact structures on Smale-Barden manifolds
• Equivariant formality of transversely symplectic foliations and Frobenius manifolds
• Hard Lefschetz Property for Isometric Flows
• Hard Lefschetz Theorem for Vaisman manifolds