Vanishing results from Lichnerowicz Laplacian on complete K\"{a}hler manifolds and applications
Differential Geometry
2022-07-27 v2
Abstract
In this paper, we show several rigidity results for harmonic -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.
Keywords
Cite
@article{arxiv.2202.02700,
title = {Vanishing results from Lichnerowicz Laplacian on complete K\"{a}hler manifolds and applications},
author = {Gunhee Cho and Nguyen Thac Dung},
journal= {arXiv preprint arXiv:2202.02700},
year = {2022}
}
Comments
arXiv admin note: text overlap with arXiv:2111.07496; text overlap with arXiv:2105.09290 by other authors, to appear in Journal of Mathematical Analysis and Applications