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Riemannian foliations of spheres

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 نشر من قبل Alexander Lytchak
 تاريخ النشر 2013
  مجال البحث
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We show that a Riemannian foliation on a topological $n$-sphere has leaf dimension 1 or 3 unless n=15 and the Riemannian foliation is given by the fibers of a Riemannian submersion to an 8-dimensional sphere. This allows us to classify Riemannian foliations on round spheres up to metric congruence.

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