Cover Image

The rigidity of dimension estimate for holomorphic functions on Kähler manifolds

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Chu, Jianchun, Deng, Jie, Hao, Zihang, Li, Jian
Format:	Preprint
Published:	2025
Subjects:	Differential Geometry
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

The rigidity of eigenvalues on Kähler manifolds with positive Ricci lower bound
by: Chu, Jianchun, et al.
Published: (2024)

On diameter rigidity for Kähler manifolds with positive holomorphic sectional curvature
by: Chu, Jianchun, et al.
Published: (2025)

Spectral comparison results for the $N$-Bakry-Emery Ricci tensor
by: Chu, Jianchun, et al.
Published: (2024)

On Kähler manifolds with non-negative mixed curvature
by: Chu, Jianchun, et al.
Published: (2024)

Non-Kähler Calabi-Yau manifolds and holomorphic geometric structures
by: Biswas, Indranil, et al.
Published: (2025)

Green's function estimates for compact Kähler manifolds and applications
by: Zhang, Weiqi, et al.
Published: (2025)

The dimension of polynomial growth holomorphic functions and forms on gradient Kähler Ricci shrinkers
by: He, Fei, et al.
Published: (2024)

Finite generation of the ring of holomorphic functions with polynomial growth on the Kähler-Ricci shrinker
by: Li, Jiangtao
Published: (2025)

Homological $n$-systole in $(n+1)$-manifolds and bi-Ricci curvature
by: Chu, Jianchun, et al.
Published: (2024)

On rigidity of hypersurfaces with constant shifted curvature functions in warped product manifolds
by: Sheng, Weimin, et al.
Published: (2025)

Curvature-dimension condition, rigidity theorems and entropy differential inequalities on Riemannian manifolds
by: Li, Xiang-Dong
Published: (2024)

Local classification of Kähler metrics with constant holomorphic sectional curvature
by: de Borbon, Martin
Published: (2025)

Holomorphic Lagrangian subvarieties in holomorphic symplectic manifolds with Lagrangian fibrations and special Kahler geometry
by: Kamenova, Ljudmila, et al.
Published: (2019)

On the structure of compact Kähler manifolds with nonnegative holomorphic sectional curvature
by: Zhang, Shiyu, et al.
Published: (2023)

Dimension estimate and existence of holomorphic sections with polynomial growth on gradient Kähler Ricci shrinkers
by: He, Fei, et al.
Published: (2024)

Sobolev Inequalities on Kähler manifolds
by: Chakraborty, Sayantan
Published: (2026)

First eigenvalue estimates on complete Kähler manifolds
by: Wang, Mingwei, et al.
Published: (2025)

On the Ricci symmetries of a Kähler manifold
by: González, Jorge Alcázar
Published: (2026)

The Kähler-Ricci flow on Fano manifolds
by: Cao, Huai-Dong
Published: (2012)

On global rigidity of transversely holomorphic Anosov flows
by: Abouanass, Mounib
Published: (2025)

Formality of the Dolbeault complex and deformations of holomorphic Poisson manifolds
by: Chen, Youming
Published: (2022)

Kähler metrics of negative holomorphic (bi)sectional curvature on a compact relative Kähler fibration
by: Wan, Xueyuan
Published: (2024)

Calabi-Yau locally conformally Kähler manifolds
by: Barbaro, Giuseppe, et al.
Published: (2025)

Quaternionic-Kähler manifolds with nonnegative sectional curvature
by: Brendle, S., et al.
Published: (2025)

Optimal rigidity estimates for varifolds almost minimizing the Willmore energy
by: Bi, Yuchen, et al.
Published: (2024)

Kähler manifolds and cross quadratic bisectional curvature
by: Ni, Lei, et al.
Published: (2019)

Remarks on Weakly $p$-Kähler hyperbolic manifolds
by: Pan, Changpeng
Published: (2024)

Generalized Kähler manifolds via mapping tori
by: Brienza, Beatrice, et al.
Published: (2023)

Conformal product structures on compact Kähler manifolds
by: Moroianu, Andrei, et al.
Published: (2024)

Categorical quantization on Kähler manifolds
by: Yau, YuTung
Published: (2024)

RCD structures on singular Kahler spaces of complex dimension three
by: Fu, Xin, et al.
Published: (2025)

Kahler-type embeddings of balls into symplectic manifolds
by: Entov, Michael, et al.
Published: (2022)

Kähler manifolds with an almost $1/4$-pinched metric
by: Minemyer, Barry
Published: (2023)

Moduli of polarised manifolds via canonical Kähler metrics
by: Dervan, Ruadhaí, et al.
Published: (2018)

Regularity of the Siciak-Zaharjuta extremal function on compact Kähler manifolds
by: Nguyen, Ngoc Cuong
Published: (2023)

The trace operator of quasi-plurisubharmonic functions on compact Kähler manifolds
by: Darvas, Tamás, et al.
Published: (2024)

Refined Kato type inequalities and new vanishing theorems on complete Kähler and quaternionic Kähler manifolds
by: Dat, Dinh Tien, et al.
Published: (2025)

Complete Kähler manifolds with nonnegative Ricci curvature II
by: Liu, Gang
Published: (2025)

Hodge decomposition theorem on compact $d$-Kähler manifolds
by: Amrutiya, Sanjay, et al.
Published: (2024)

Sharp systolic inequalities for Kähler manifolds
by: Tsiamis, Raphael
Published: (2026)