Vanishing results from Lichnerowicz Laplacian on complete K\"ahler manifolds and applications
Abstract
In this paper, we show several rigidity results for harmonic (p,q)-forms in complete K\"ahler manifolds. We also give several applications to study non-compact K\"ahler manifolds with parallel Bochner tensor or quaternion K\"ahler manifolds. Our results are natural extensions of Petersen and Wink's results in PW21, PW in the setting of complete, non-compact K\"ahler manifolds.
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