QR-submanifolds and Riemannian metrics with $G_2$ holonomy
Differential Geometry
2012-03-14 v2
Abstract
In this note we prove that QR-submanifolds of the hyper-Kahler manifolds under some conditions admit the holonomy. We give simplest examples of such QR-submanifolds namely tori. We conjecture that all holonomy manifolds arise in this way.
Cite
@article{arxiv.1104.4895,
title = {QR-submanifolds and Riemannian metrics with $G_2$ holonomy},
author = {Dmitry Egorov},
journal= {arXiv preprint arXiv:1104.4895},
year = {2012}
}
Comments
5 pages