A monotonicity formula on complete K\"ahler manifolds with nonnegative bisectional curvature
Differential Geometry
2007-05-23 v1 Complex Variables
Abstract
In this paper, we derive a new monotonicity formula for the plurisuhbarmonic functions on complete K\"ahler manifolds with nonnegative bisectional curvature. As applications we derive the sharp estimates for the dimension of the spaces of holomorphic functions (sections) with polynomial growth, which in particular, partially solve a conjecture of Yau.
Keywords
Cite
@article{arxiv.math/0307275,
title = {A monotonicity formula on complete K\"ahler manifolds with nonnegative bisectional curvature},
author = {Lei Ni},
journal= {arXiv preprint arXiv:math/0307275},
year = {2007}
}