Elahe Khalili Samani, Syracuse University
Title:
Positively curved manifolds with discrete symmetry
Abstract: Riemannian manifolds with positive sectional
curvature
are of special interest in Riemannian geometry. While
it is difficult to
classify all such manifolds, there are many
results under additional
symmetry
assumptions. In this talk, we review some of the results in the
presence of torus symmetry, and then discuss generalizations to the
case
of discrete symmetry. This is based on joint work with Lee
Kennard
and Catherine Searle.