The continuity equation for Hermitian metrics: Calabi estimates, Chern scalar curvature, and Oeljeklaus–Toma manifolds

DOI10.1112/blms.12976arXiv2307.03665OpenAlexW4389804933MaRDI QIDQ6152033

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Publication date: 11 March 2024

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2307.03665

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Elliptic equations on manifolds, general theory (58J05) Local differential geometry of Hermitian and Kählerian structures (53B35) Flows related to complex manifolds (e.g., Kähler-Ricci flows, Chern-Ricci flows) (53E30)

Cites Work

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• A continuity method to construct canonical metrics
• Inoue surfaces and the Chern-Ricci flow
• Local Calabi and curvature estimates for the Chern-Ricci flow
• A parabolic flow of balanced metrics
• The Kähler-Ricci flow through singularities
• Classification of manifolds with weakly 1/4-pinched curvatures
• Deformation of Kähler metrics to Kähler-Einstein metrics on compact Kähler manifolds
• The anomaly flow and the Fu-Yau equation
• On the Chern-Yamabe problem
• Non-Kähler compact complex manifolds associated to number fields.
• Anomaly flows
• Three-manifolds with positive Ricci curvature
• Scalar curvature behavior for finite-time singularity of Kähler-Ricci flow
• Rigidity of Oeljeklaus-Toma manifolds
• Geometric flows for the type IIA string
• A Chern-Calabi flow on Hermitian manifolds
• Estimates for a geometric flow for the type IIB string
• The Chern-Ricci flow
• A scalar Calabi-type flow in the almost Hermitian geometry
• On the evolution of a Hermitian metric by its Chern-Ricci form
• Curves on the Oeljeklaus-Toma manifolds
• The continuity equation, Hermitian metrics and elliptic bundles
• Flat affine subvarieties in Oeljeklaus-Toma manifolds
• De Rham and twisted cohomology of Oeljeklaus-Toma manifolds
• Oeljeklaus-Toma manifolds admitting no complex subvarieties
• Hermitian curvature flow
• The Kähler-Ricci flow on surfaces of positive Kodaira dimension
• Multiplier ideal sheaves and the Kähler-Ricci flow
• Collapsing of the Chern-Ricci flow on elliptic surfaces
• Métriques riemanniennes et courbure
• Improper affine hyperspheres of convex type and a generalization of a theorem by K. Jörgens
• The Chern-Ricci flow on primary Hopf surfaces
• The Chern–Ricci flow on complex surfaces
• Canonical measures and Kähler-Ricci flow
• GEOMETRY OF HERMITIAN MANIFOLDS
• The behavior of the Chern scalar curvature under the Chern-Ricci flow
• The complex Monge-Ampère equation on compact Hermitian manifolds
• BOUNDEDLY NONHOMOGENEOUS ELLIPTIC AND PARABOLIC EQUATIONS
• LCK metrics on Oeljeklaus-Toma manifolds versus Kronecker's theorem
• Classical solutions of fully nonlinear, convex, second-order elliptic equations
• On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I
• The Kähler-Ricci flow, Ricci-flat metrics and collapsing limits
• The Chern–Ricci Flow on Oeljeklaus–Toma Manifolds
• Vaisman metrics on solvmanifolds and Oeljeklaus-Toma manifolds
• Hodge decomposition for Cousin groups and for Oeljeklaus-Toma manifolds
• The Hermitian curvature flow on manifolds with non-negative Griffiths curvature
• Holomorphic Line Bundles Over Domains in Cousin Groups and the Algebraic Dimension of Oeljeklaus-Toma Manifolds
• Complex Monge Ampere Equations
• A scalar Calabi-type flow in Hermitian geometry: short-time existence and stability
• Special Hermitian metrics on Oeljeklaus–Toma manifolds

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