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arXiv · 2202.02700

Vanishing results from Lichnerowicz Laplacian on complete K\"{a}hler manifolds and applications

Gunhee Cho·Nguyen Thac Dung
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Abstract

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

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Gunhee Cho, Nguyen Thac Dung. 2022-02-06. Vanishing results from Lichnerowicz Laplacian on complete K\"{a}hler manifolds and applications. https://arxiv.org/abs/2202.02700

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