Complete Kähler Manifolds with pinched Ricci curvature

In this paper, we prove that a connected complete Kähler manifold of complex dimension at least two satisfying $\Ric\geq\varepsilon Rg\geq0$ for a fixed $\varepsilon>0$ is compact or Ricci-flat.

Authors

Publication Details

Journal
arXiv (Cornell University)
Published
2026-10-29
DOI
https://doi.org/10.48550/arxiv.2610.40419
Primary Topic
Geometry and complex manifolds
Type
preprint
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preprint

Complete Kähler Manifolds with pinched Ricci curvature

Ruyi Ji, Yuxing Deng
arXiv (Cornell University)
Geometry and complex manifolds
preprint

Complete Kähler Manifolds with pinched Ricci curvature

Ruyi Ji, Yuxing Deng
preprint en

Abstract

In this paper, we prove that a connected complete Kähler manifold of complex dimension at least two satisfying $\Ric\geq\varepsilon Rg\geq0$ for a fixed $\varepsilon>0$ is compact or Ricci-flat.

arXiv (Cornell University)
Geometry and complex manifolds
DOIOpen Access PDFOpenAlex
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Complete Kähler Manifolds with pinched Ricci curvature — Ruyi Ji, Yuxing Deng · arXiv (Cornell University) (2026) | TGRS Research Map | TGRS