p-harmonic forms on complete manifolds

p-harmonic forms on complete manifolds

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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.