Geometry and Topology Seminar
Riemannian submersions from compact Lie groups
Ravi Shankar
, University of Oklahoma
Details
Wednesday, September 2, 2009
3:45 PM
PHSC 809
Abstract
In this talk we show how to construct infinitely many examples of Riemannian submersions,
G
→
B
, where
G
is a simple, compact Lie group with a bi-invariant metric and
B
is a Riemannian manifold such that
B
is not the quotient of
G
by any free group action. These are the first families of examples of this kind and the construction partially answers a question posed by Karsten Grove. This is joint work with Martin Kerin.