Three circle theorem on almost Hermitian manifolds and applications

DOI10.1007/s00526-022-02294-5OpenAlexW3209826973WikidataQ113904935 ScholiaQ113904935MaRDI QIDQ2159516

Publication date: 1 August 2022

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.12566

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Holomorphic functions of several complex variables (32A10)

Cites Work

Unnamed Item
On the volume growth of Kähler manifolds with nonnegative bisectional curvature
Gromov-Hausdorff limits of Kähler manifolds and the finite generation conjecture
Three-circle theorem and dimension estimate for holomorphic functions on Kähler manifolds
Convergence of the parabolic complex Monge-Ampère equation on compact Hermitian manifolds
Product of almost-Hermitian manifolds
Some comparison theorems for Kähler manifolds
On Yau's uniformization conjecture
An extension of E. Hopf's maximum principle with an application to Riemannian geometry
A unique continuation theorem for solutions of elliptic partial differential equations or inequalities of second order
Chern-Ricci flows on noncompact complex manifolds
Projective manifolds with ample tangent bundles
Compact Kähler manifolds of positive bisectional curvature
Curvature identities for Hermitian and almost Hermitian manifolds
Ricci flow and the uniformization on complete noncompact Kähler manifolds
Hessian comparison and spectrum lower bound of almost Hermitian manifolds
Plurisubharmonic functions and the structure of complete Kähler manifolds with nonnegative curvature.
Gap theorem on Kähler manifolds with nonnegative orthogonal bisectional curvature
On the evolution of a Hermitian metric by its Chern-Ricci form
\(\mathrm{U}(n)\)-invariant Kähler metrics with nonnegative quadratic bisectional curvature
The Chern-Ricci flow and holomorphic bisectional curvature
Curvature identities on almost Hermitian manifolds and applications
On the three-circle theorem and its applications in Sasakian manifolds
Hermitian curvature flow
A uniformization theorem for complete non-compact Kähler surfaces with positive bisectional curvature
On the complex structure of Kähler manifolds with nonnegative curvature
On the structure of Hermitian manifolds with semipositive Griffiths curvature
An embedding theorem of complete Kähler manifolds of positive bisectional curvature onto affine algebraic varieties
Comparison theorems for the matrix riccati equation
A monotonicity formula on complete Kähler manifolds with nonnegative bisectional curvature
The Hermitian curvature flow on manifolds with non-negative Griffiths curvature
Sharp dimension estimates of holomorphic functions and rigidity

This page was built for publication: Three circle theorem on almost Hermitian manifolds and applications