Homogeneous foliations of spheres

Lu, Duojia

doi:10.1090/S0002-9947-1993-1080171-8

Homogeneous foliations of spheres
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Trans. Amer. Math. Soc. 340 (1993), 95-102 Request permission

Abstract:

In this paper we discuss Riemannian foliations of the round sphere. We prove that there are no homogeneous Riemannian foliations of the round sphere with dimensions of the leaves bigger than three.

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