# p-harmonic forms on complete manifolds

-
Chiung-Jue Anna Sung, Tsing-Hwa University, Taiwan
Fine Hall 314

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.