Work

Some uniform estimates for Kähler--Ricci Shrinkers

Year: 2026

Type: preprint

Abstract: In this paper, we establish several uniform estimates for Kähler--Ricci shrinkers without imposing any curvature assumptions. In particular, we prove: 1. a uniform lower bound for the entropy; 2. a uniform lower bound for the asymptotic volume ratio of Kähler--shrinkers with maximal volume growth; 3. a uniform lower bound for the scalar curvature on balls centered at a minimum point of the soliton potential for non-Gaussian shrinkers.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2608.30779

Author: Zhang, Junsheng

Institutions: Courant Institute of Mathematical Sciences, New York University

Language: English

Topic: Geometry and complex manifolds

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7204864085

Cites: 7

Cited by: 1

Related to: 10