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Complete Kähler Manifolds with pinched Ricci curvature
Abstract
In this paper, we prove that a connected complete Kähler manifold of complex dimension at least two satisfying Ric≥ε Rg≥0 for a fixed ε>0 is compact or Ricci-flat.
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BibTeX
@misc{deng2026complete,
title = {{Complete Kähler Manifolds with pinched Ricci curvature}},
author = {Yuxing Deng and Ruyi Ji},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.40419},
eprint = {2610.40419},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.40419},
}
RIS
TY - UNPB
TI - Complete Kähler Manifolds with pinched Ricci curvature
AU - Yuxing Deng
AU - Ruyi Ji
PY - 2026
DA - 2026/10/29
PB - arXiv
DO - 10.48550/arxiv.2610.40419
UR - https://arxiv.org/abs/2610.40419
AB - In this paper, we prove that a connected complete Kähler manifold of complex dimension at least two satisfying Ric≥ε Rg≥0 for a fixed ε>0 is compact or Ricci-flat.
ER -