A Theorem of Liouville Type for p-Harmonic Morphisms |
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| Authors: | Gundon Choi Gabjin Yun |
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| Institution: | (1) GARC and Department of Mathematics, Seoul National University, San 56-1, Shilim, Seoul, Korea;(2) Department of Mathematics, Myong Ji University, San 38-2, Namdong, Yongin, Kyunggi, Korea, 449-728 |
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| Abstract: | In this article we prove a Liouville type theorem for p-harmonic morphisms. We show that if  : M Nis a p-harmonic morphism (p 2) from a complete noncompact Riemannian manifold Mof nonnegative Ricci curvature into a Riemannian manifold Nof nonpositive scalar curvature such that the p-energy E
p
(), or (2p–2)-energy E
2p–2() is finite, then is constant. |
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| Keywords: | p-harmonic map p-harmonic morphism |
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