Date of Award

2012

Degree Type

Dissertation

Degree Name

Doctor of Philosophy (PhD)

Graduate Group

Mathematics

First Advisor

Wolfgang Ziller

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.

Included in

Mathematics Commons

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