Cocalibrated G_2-manifolds with Ricci flat characteristic connection
Differential Geometry
2013-04-01 v1 Mathematical Physics
math.MP
Abstract
Any 7-dimensional cocalibrated G_2-manifold admits a unique connection with skew symmetric torsion. We study these manifolds under the additional condition that the -Ricci tensor vanishes. In particular, we describe their geometry in case of a maximal number of -parallel vector fields.
Keywords
Cite
@article{arxiv.1303.7444,
title = {Cocalibrated G_2-manifolds with Ricci flat characteristic connection},
author = {Thomas Friedrich},
journal= {arXiv preprint arXiv:1303.7444},
year = {2013}
}