William Wylie, Syracuse University
Title: Rigidity of Homogeneous Gradient Soliton Metrics and
Related Equations.
Abstract: In this talk I'll discuss structure results for
homogeneous
Riemannian spaces that support a non-constant solution to
two general
classes of equations involving the Hessian of a
function. Our results
generalize earlier rigidity results for gradient
Ricci solitons and warped
product Einstein metrics. In particular,
they provide results for homogeneous
gradient solitons of any
invariant curvature flow and give a new structure result
for
homogeneous conformally Einstein metrics.
This is joint work with P. Petersen of UCLA.