A Note on p-Harmonic 1-Forms on Complete Manifolds
Canadian mathematical bulletin, Tome 44 (2001) no. 3, pp. 376-384
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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 $\left( 0\,<\,q\,<\,\infty\right)$ .
Mots-clés :
58E20, 53C21, p-harmonic, 1-form, complete manifold, Sobolev inequality
Zhang, Xi. A Note on p-Harmonic 1-Forms on Complete Manifolds. Canadian mathematical bulletin, Tome 44 (2001) no. 3, pp. 376-384. doi: 10.4153/CMB-2001-038-2
@article{10_4153_CMB_2001_038_2,
author = {Zhang, Xi},
title = {A {Note} on {p-Harmonic} {1-Forms} on {Complete} {Manifolds}},
journal = {Canadian mathematical bulletin},
pages = {376--384},
year = {2001},
volume = {44},
number = {3},
doi = {10.4153/CMB-2001-038-2},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2001-038-2/}
}
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