Low Dimensional Singular Riemannian Foliations in Spheres
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Degree type
Doctor of Philosophy (PhD)
Graduate group
Mathematics
Discipline
Subject
Foliations
Riemannian geometry
Riemannian manifolds
Spheres
Mathematics
Riemannian geometry
Riemannian manifolds
Spheres
Mathematics
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Copyright date
2014-08-19T20:12:00-07:00
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Abstract
Singular Riemannian Foliations are particular types of foliations on Riemannian manifolds, in which leaves locally stay at a constant distance from each other. Singular Riemannian Foliations in round spheres play a special role, since they provide &ldquo infinitesimal information &rdquo about general Singular Riemannian Foliations. In my thesis I prove that Singular Riemannian Foliations in spheres, of dimension at most 3, are orbits of an isometric group action.
Advisor
Wolfgang Ziller
Date of degree
2012-01-01