Generalized Killing spinors on Einstein manifolds
Differential Geometry
2019-01-08 v2
Abstract
We study generalized Killing spinors on compact Einstein manifolds with positive scalar curvature. This problem is related to the existence compact Einstein hypersurfaces in manifolds with parallel spinors, or equivalently, in Riemannian products of flat spaces, Calabi-Yau, hyperkaehler, G_2 and Spin(7) manifolds.
Cite
@article{arxiv.1303.6179,
title = {Generalized Killing spinors on Einstein manifolds},
author = {Andrei Moroianu and Uwe Semmelmann},
journal= {arXiv preprint arXiv:1303.6179},
year = {2019}
}
Comments
17 pages; new version including the 2-dimensional case and several stylistical improvements