Examples of compact K-contact manifolds with no Sasakian metric
Differential Geometry
2014-10-24 v2 Symplectic Geometry
Abstract
Using the Hard Lefschetz Theorem for Sasakian manifolds, we find two examples of compact K-contact nilmanifolds with no compatible Sasakian metric in dimensions five and seven, respectively
Keywords
Cite
@article{arxiv.1311.3270,
title = {Examples of compact K-contact manifolds with no Sasakian metric},
author = {Beniamino Cappelletti-Montano and Antonio De Nicola and Juan Carlos Marrero and Ivan Yudin},
journal= {arXiv preprint arXiv:1311.3270},
year = {2014}
}
Comments
8 pages, accepted for publication in IJGMMP (Proceedings of the XXII IFWGP, University of Evora, Portugal)