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Vanishing theorems on complete manifolds with weighted Poincaré inequality and applications

Published online by Cambridge University Press:  11 January 2016

Hai-Ping Fu  and
Deng-Yun Yang
Hai-Ping Fu
Affiliation:
Department of Mathematics Nanjing University, Nanjing 210093, People’s Republic of China and Department of Mathematics Nanchang University, Nanchang 330031, People’s Republic of China, mathfu@126.com
Deng-Yun Yang
Affiliation:
College of Mathematics and Information Science Jiangxi Normal University, Nanchang 330022, People’s Republic of China, yangdengyun@126.com
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Abstract

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Two vanishing theorems for harmonic map and L2 harmonic 1-form on complete noncompact manifolds are proved under certain geometric assumptions, which generalize results of [13], [15], [18], [19], and [20]. As applications, we improve some main results in [2], [4], [6], [9], [12], [20], [22], [24], and [25].

Keywords

58E2053C42
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 206 , June 2012 , pp. 25 - 37
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2012

References

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