Abstract
Two vanishing theorems for harmonic map and harmonic -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].
Citation
Hai-Ping Fu. Deng-Yun Yang. "Vanishing theorems on complete manifolds with weighted Poincaré inequality and applications." Nagoya Math. J. 206 25 - 37, June 2012. https://doi.org/10.1215/00277630-1548475
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