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Metric fibrations from simply connected rank-one projective spaces. (English) Zbl 1261.53031
Summary: In this paper, we classify all non-trivial Riemannian submersions with connected fibers from any of the simply connected, rank-one projective spaces. The result follows from results of Gromoll, Grove, Wilking, Becker, Casson, Gottlieb, Schultz, Ucci and Wolf, together with results of the author.

##### MSC:
 53C20 Global Riemannian geometry, including pinching 57R30 Foliations in differential topology; geometric theory
##### Keywords:
Riemannian submersion; metric fibration; fibration
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##### References:
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