On generalized quasi-Sasaki manifolds
Differential Geometry
2012-11-14 v1
Abstract
We study 5-dimensional Riemannian manifolds that admit an almost contact metric structure. In particular, we generalize the class of quasi-Sasaki manifolds and characterize these structures by their intrinsic torsion. Among other things, we see that these manifolds admit a unique metric connection that is compatible with the underlying almost contact metric structure. Finally, we construct a family of examples that are not quasi-Sasaki.
Keywords
Cite
@article{arxiv.1211.2830,
title = {On generalized quasi-Sasaki manifolds},
author = {Christof Puhle},
journal= {arXiv preprint arXiv:1211.2830},
year = {2012}
}
Comments
17 pages