Vanishing theorems on complete manifolds with weighted Poincaré inequality and applications

Hai-Ping Fu, Deng-Yun Yang
2012 Nagoya mathematical journal  
AbstractTwo vanishing theorems for harmonic map andL2harmonic 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].
doi:10.1017/s0027763000010515 fatcat:3ejapmr7ovfihhcmkojuok5a2q