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.
Recommended Citation
Radeschi, Marco, "Low Dimensional Singular Riemannian Foliations in Spheres" (2012). Publicly Accessible Penn Dissertations. 563.
https://repository.upenn.edu/edissertations/563