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A Note on p-Harmonic 1-Forms on Complete Manifolds

Published online by Cambridge University Press:  20 November 2018

Xi Zhang
Xi Zhang*
Affiliation:
Department of Mathematics West Brook Campus Zhejiang University Hangzhou 310028 People’s Republic of China, e-mail: mathzx@sina.com
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Abstract

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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 $\left( 0\,<\,q\,<\,\infty \right)$.

Keywords

58E2053C21p-harmonic1-formcomplete manifoldSobolev inequality
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 44 , Issue 3 , 01 September 2001 , pp. 376 - 384
Copyright
Copyright © Canadian Mathematical Society 2001

References

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