Einstein warped G2 and Spin(7) manifolds
Differential Geometry
2019-03-27 v1 Mathematical Physics
math.MP
Abstract
In this paper most of the classes of G2-structures with Einstein induced metric of negative, null or positive scalar curvature are realized. This is carried out by means of warped G2-structures with fiber an Einstein SU(3) manifold. The torsion forms of any warped G2-structure are explicitly described in terms of the torsion forms of the SU(3)-structure and the warping function, which allows to give characterizations of the principal classes of Einstein warped G2 manifolds. Similar results are obtained for Einstein warped Spin(7) manifolds with fiber a G2 manifold.
Keywords
Cite
@article{arxiv.1805.05858,
title = {Einstein warped G2 and Spin(7) manifolds},
author = {Victor Manero and Luis Ugarte},
journal= {arXiv preprint arXiv:1805.05858},
year = {2019}
}
Comments
31 pages, 6 tables