Riemannian submersions from compact four manifolds
Differential Geometry
2014-09-16 v1
Abstract
We show that under certain conditions, a nontrivial Riemannian submersion from positively curved four manifolds does not exist. This gives a partial answer to a conjecture due to Fred Wilhelm. We also prove a rigidity theorem for Riemannian submersions with totally geodesic fibers from compact four-dimensional Einstein manifolds.
Keywords
Cite
@article{arxiv.1409.4027,
title = {Riemannian submersions from compact four manifolds},
author = {Xiaoyang Chen},
journal= {arXiv preprint arXiv:1409.4027},
year = {2014}
}
Comments
17 pages