Work

An $L^1$ bound for Ricci curvature on Kähler manifolds

Year: 2026

Type: preprint

Abstract: We prove a uniform $L^1$ bound for Ricci curvature on noncollapsed Kähler manifolds with Ricci curvature bounded below. The proof combines the codimension two neck decomposition and entropy estimates with local Kähler geometry on regular balls. The key step is a linear control of the Ricci integral on a regular ball by the entropy pinching, obtained from a decomposition of the scalar-curvature integral that exploits the Kähler structure.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.28142

Authors: Jiang, Wenshuai, Liu, Gang

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Natural Science Foundation of China, Science and Technology Commission of Shanghai Municipality, National Key Research and Development Program of China

OpenAlex ID: W7223114569

Cites: 35

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Related to: 10