Complete K\"ahler manifolds with nonnegative Ricci curvature II
Differential Geometry
2025-10-14 v1
Abstract
We study rigidity on certain K\"ahler manifolds with nonnegative Ricci curvature. Among others things, we show that a complete noncompact K\"ahler surface with nonnegative Ricci curvature, Euclidean volume growth and quadratic curvature decay is biholomorphic to resolution of an affine algebraic variety.
Keywords
Cite
@article{arxiv.2510.10600,
title = {Complete K\"ahler manifolds with nonnegative Ricci curvature II},
author = {Gang Liu},
journal= {arXiv preprint arXiv:2510.10600},
year = {2025}
}