Almost Diameter Rigidity for the Cayley Plane
dg-ga
2008-02-03 v1 Differential Geometry
Abstract
In this paper we give a generalisation of the Radius Rigidity theorem of F.Wilhelm. This is done by showing that if a Riemannian submersion of with 7-dimensional fibres has at least one fibre which is a great sphere then all the fibres are so. Some weaker than known conditions which force the existence of such a fibre are also discussed.
Cite
@article{arxiv.dg-ga/9707003,
title = {Almost Diameter Rigidity for the Cayley Plane},
author = {Akhil Ranjan},
journal= {arXiv preprint arXiv:dg-ga/9707003},
year = {2008}
}
Comments
8 pages Latex