Date of Award
Spring 5-16-2011
Degree Type
Dissertation
Degree Name
Doctor of Philosophy (PhD)
Graduate Group
Mathematics
First Advisor
Wolfgang Ziller
Abstract
We classify all compact 1-connected manifolds $M^n$ for $2 \leq n leq 7$ which are
di ffeomorphic to biquotients. Further, given that $M$ is di ffeomorphic to a biquotient,
we classify the biquotients it is diff eomorphic to. Finally, we show the homogeneous
space $Sp(3)\Sp(1) \tines Sp(1)$ and two of its quotients $Sp(3)\Sp(1) \times Sp(1) \times S^1$ and
$\delta S^1 \backslash Sp(3)/Sp(1)\times Sp(1)$ admit metrics of almost positive curvature.
iv
Recommended Citation
DeVito, Jason, "The classification of simply connected biquotients of dimension at most 7 and 3 new examples of almost positively curved manifolds" (2011). Publicly accessible Penn Dissertations. Paper 311.
http://repository.upenn.edu/edissertations/311