Torsion of SU(2)-structures and Ricci curvature in dimension 5
Differential Geometry
2014-05-26 v3
Abstract
In anlogy with the work of R. Bryant on the Ricci tensor of a G-structure, we study the intrinsic torsion of an SU-structure on a 5-dimensional manifold deriving an explicit expression for the Ricci and the scalar curvature in terms of torsion forms and its derivative. As a consequence of this formula we prove that the -Einstein condition forces some special SU(2)-structures to be Sasaki-Einstein.
Keywords
Cite
@article{arxiv.math/0702790,
title = {Torsion of SU(2)-structures and Ricci curvature in dimension 5},
author = {Lucio Bedulli and Luigi Vezzoni},
journal= {arXiv preprint arXiv:math/0702790},
year = {2014}
}
Comments
18 pages, The main formula has been corrected