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Vanishing theorems on complete manifolds with weighted Poincaré inequality and applications

  • Hai-Ping Fu (a1) and Deng-Yun Yang (a2)

Abstract

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].

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References

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Vanishing theorems on complete manifolds with weighted Poincaré inequality and applications

  • Hai-Ping Fu (a1) and Deng-Yun Yang (a2)

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