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arXiv · 1304.7484

Holomorphic functions on certain K\"{a}hler manifolds

Ovidiu Munteanu·Jiaping Wang
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Abstract

We investigate Liouville theorems and dimension estimates for the space of exponentially growing holomorphic functions on complete K\"{a}hler manifolds. While our work is motivated by the study of gradient Ricci solitons in the theory of Ricci flow, the most general results we prove here do not require any knowledge of curvature.

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Ovidiu Munteanu, Jiaping Wang. 2013-04-28. Holomorphic functions on certain K\"{a}hler manifolds. https://doi.org/10.1112/jlms%2Fjdt078

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