Sasakian nilmanifolds
Differential Geometry
2015-08-25 v4 Algebraic Topology
Abstract
We prove that a compact nilmanifold admits a Sasakian structure if and only if it is a compact quotient of the generalized Heisenberg group of odd dimension by a co-compact discrete subgroup.
Cite
@article{arxiv.1404.0315,
title = {Sasakian nilmanifolds},
author = {Beniamino Cappelletti-Montano and Antonio De Nicola and Juan Carlos Marrero and Ivan Yudin},
journal= {arXiv preprint arXiv:1404.0315},
year = {2015}
}
Comments
9 pages, to appear in IMRN