Holomorphic functions on certain Kähler manifolds

Abstract

We investigate Liouville theorems and dimension estimates for the space of exponentially growing holomorphic functions on complete Kähler 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.

19 pages, submitted

Cited by in corpus (1)

• Classification results for expanding and shrinking gradient Kähler-Ricci solitons