A Smale-Barden manifold admitting K-contact but not Sasakian structure
Differential Geometry
2023-07-13 v2 Algebraic Geometry
Symplectic Geometry
Abstract
We give the first example of a simply connected compact 5-manifold (Smale-Barden manifold) which admits a K-contact structure but does not admit any Sasakian structure, settling a long standing question of Boyer and Galicki.
Cite
@article{arxiv.2011.05783,
title = {A Smale-Barden manifold admitting K-contact but not Sasakian structure},
author = {Vicente Muñoz},
journal= {arXiv preprint arXiv:2011.05783},
year = {2023}
}
Comments
33 pages, 2 figures; version 2 largely improved, a mistake corrected, and the arguments simplified