Classification of codimension one biquotient foliations in low dimensions

Abstract

In 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.