Non-existence of flat paracontact metric structures in dimension greater than or equal to five
Differential Geometry
2009-11-02 v1
Abstract
An example of a three dimensional flat paracontact metric manifold with respect to Levi-Civita connection is constructed. It is shown that no such manifold exists for odd dimensions greater than or equal to five.
Keywords
Cite
@article{arxiv.0910.5838,
title = {Non-existence of flat paracontact metric structures in dimension greater than or equal to five},
author = {Simeon Zamkovoy and Vassil Tzanov},
journal= {arXiv preprint arXiv:0910.5838},
year = {2009}
}
Comments
7 pages, no figures