The rigidity of eigenvalues on Kähler manifolds with positive Ricci lower bound

J Chu, F Wang, K Zhang - Journal für die reine und angewandte …, 2025 - degruyter.com
In this work, optimal rigidity results for eigenvalues on Kähler manifolds with positive Ricci
lower bound are established. More precisely, for those Kähler manifolds whose first …

Comparison geometry of holomorphic bisectional curvature for Kähler manifolds and limit spaces

J Lott - Duke Mathematical Journal, 2021 - projecteuclid.org
Comparison geometry of holomorphic bisectional curvature for Kahler manifolds and limit
spaces Page 1 COMPARISON GEOMETRY OF HOLOMORPHIC BISECTIONAL …

A family of K\" ahler flying wing steady Ricci solitons

PY Chan, RJ Conlon, Y Lai - arXiv preprint arXiv:2403.04089, 2024 - arxiv.org
In $1996 $, H.-D. Cao constructed a $ U (n) $-invariant steady gradient K\" ahler-Ricci
soliton on $\mathbb {C}^{n} $ and asked whether every steady gradient K\" ahler-Ricci …

[PDF][PDF] Conjugate radius, volume comparison and rigidity

Z Xiong, X Yang - arXiv preprint arXiv:2408.02080, 2024 - arxiv.org
arXiv:2408.02080v1 [math.DG] 4 Aug 2024 Page 1 CONJUGATE RADIUS, VOLUME
COMPARISON AND RIGIDITY ZHIYAO XIONG AND XIAOKUI YANG Abstract. In this paper, we …

Comparison and Rigidity Theorems for the Volume and Diameter of Positively Curved Kähler Manifolds

V Datar, H Seshadri - Acta Mathematica Sinica, English Series, 2024 - Springer
We survey recent results on the volume and diameter of positively curved Kähler manifolds.
Specifically, the Kähler analogues of the Bishop volume comparison theorem and the …

Diameter rigidity for Kähler manifolds with positive bisectional curvature

V Datar, H Seshadri - Mathematische Annalen, 2023 - Springer
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Improved Beckner–Sobolev Inequalities on Kähler Manifolds

F Baudoin, O Munteanu - The Journal of Geometric Analysis, 2021 - Springer
Improved Beckner–Sobolev Inequalities on Kähler Manifolds | SpringerLink Skip to main content
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