Almost Diameter Rigidity for Cayley Plane

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 S15 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. 

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Cite this paper

@inproceedings{Ranjan1997AlmostDR, title={Almost Diameter Rigidity for Cayley Plane}, author={Akhil Ranjan}, year={1997} }