p-harmonic forms on complete manifolds

Friday, April 2, 2010 -
3:00pm to 5:00pm
Let $M$ be an m-dimensional complete non-compact Reimannian manifold. We prove that any bounded set of p-harmonic k-forms in $L^q(M)$, is relatively compact with respect to the uniform convergence topology if the curvature operator of $M$ is asymptotically non-negative.
Speaker: 
Chiung-Jue Anna Sung
Tsing-Hwa University, Taiwan
Event Location: 
Fine Hall 314