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A Note on <i>p</i>-Harmonic 1-Forms on Complete Manifolds

A Note on <i>p</i>-Harmonic 1-Forms on Complete Manifolds

Abstract In this paper we prove that there is no nontrivial L q -integrably p -harmonic 1-form on a complete manifold with nonnegatively Ricci curvature (0 &lt; q &lt; ∞).