G-manifolds with positive Ricci curvature and many isolated singular orbits
Differential Geometry
2013-08-22 v2
Abstract
We show that in cohomogeneity 3 there are G-manifolds with any given number of isolated singular orbits and an invariant metric of positive Ricci curvature. We show that the corresponding result is also true in cohomogeneity 5 provided the number of singular orbits is even.
Keywords
Cite
@article{arxiv.1211.3670,
title = {G-manifolds with positive Ricci curvature and many isolated singular orbits},
author = {David J. Wraith},
journal= {arXiv preprint arXiv:1211.3670},
year = {2013}
}
Comments
19 pages. This paper has been substantially re-written to improve the exposition, to present the technical details in greater generality, and to correct a mistake in the second section of the original version. The main results are unchanged