Ricci-flat deformations and special holonomy
Differential Geometry
2010-08-05 v1
Abstract
Let G be one of the Ricci-flat holonomy groups SU(n), Sp(n), Spin(7) or G_2, and M a compact manifold of dimension 2n, 4n, 8 or 7, respectively. We prove that the natural map from the moduli space of torsion-free G-structures on M to the moduli space of Ricci-flat metrics is open, and that the image is a smooth manifold. For the exceptional cases G = Spin(7) and G_2 we extend the result to asymptotically cylindrical manifolds.
Keywords
Cite
@article{arxiv.1008.0663,
title = {Ricci-flat deformations and special holonomy},
author = {Johannes Nordström},
journal= {arXiv preprint arXiv:1008.0663},
year = {2010}
}
Comments
12 pages