Classification of codimension one biquotient foliations in low dimensions

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dc.contributor.advisorShankar, Krishnan
dc.contributor.advisorDeVito, Jason
dc.contributor.authorLutz, Andrew
dc.contributor.committeeMemberLifschitz, Lucy
dc.contributor.committeeMemberMalestein, Justin
dc.contributor.committeeMemberMendes, Ricardo
dc.contributor.committeeMemberWeldon, Stephen
dc.date.accessioned2021-05-18T13:54:13Z
dc.date.available2021-05-18T13:54:13Z
dc.date.issued2021-05-14
dc.date.manuscript2021-05
dc.description.abstractIn this thesis we study compact simply connected C1BFs (manifolds which arise as quotients of cohomogeneity one manifolds). In particular, we study various elementary properties of C1BFs including their topological and curvature properties. Moreover, we give a classification of their structures in low dimensions and also show that all simply connected manifolds which admit non-negative curvature in low dimensions admit a C1BF structure.en_US
dc.identifier.urihttps://hdl.handle.net/11244/329604
dc.languageen_USen_US
dc.subjectBiquotient Foliationsen_US
dc.subjectCohomogeneity-One Manifoldsen_US
dc.subjectNonnegative Curvatureen_US
dc.subjectRiemannian Geometryen_US
dc.thesis.degreePh.D.en_US
dc.titleClassification of codimension one biquotient foliations in low dimensionsen_US
ou.groupCollege of Arts and Sciences::Department of Mathematicsen_US
shareok.nativefileaccessrestricteden_US

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