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Substantial Riemannian Submersions of S(15) with 7- dimensional fibres

Akhil Ranjan
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Abstract

In this paper we show that a substantial Riemannian submersion of S(15) with 7- dimensional fibres is congruent to the standard Hopf fibration. As a consequence we prove a slightly weak form of of the Diameter Rigidity theorem for the Cayley plane which is considerably stronger than the very recent Radius Rigidity Theorem of Wilhelm.

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BibTeXRIS

Akhil Ranjan. 1995-10-31. Substantial Riemannian Submersions of S(15) with 7- dimensional fibres. https://arxiv.org/abs/dg-ga/9510009

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