Collapsing of products along the Kähler-Ricci flow

DOI10.1090/S0002-9947-2013-06073-4zbMath1408.53089arXiv1203.3781WikidataQ125909603 ScholiaQ125909603MaRDI QIDQ5420142

Matt Gill

Publication date: 11 June 2014

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.3781

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55)

Related Items

Compact Kähler manifolds with nonpositive bisectional curvature ⋮ Inoue surfaces and the Chern-Ricci flow ⋮ The Chern-Ricci flow ⋮ The Kähler-Ricci flow on Fano bundles ⋮ Infinite-time singularities of the Kähler-Ricci flow ⋮ Collapsing limits of the Kähler-Ricci flow and the continuity method ⋮ Local curvature estimates of long-time solutions to the Kähler-Ricci flow ⋮ Higher-order estimates of long-time solutions to the Kähler-Ricci flow ⋮ A scalar curvature bound along the conical Kähler-Ricci flow ⋮ Infinite-time singularity type of the Kähler-Ricci flow ⋮ A ``boundedness implies convergence principle and its applications to collapsing estimates in Kähler geometry ⋮ KAWA lecture notes on the K\"ahler-Ricci flow ⋮ Collapsing of the Chern-Ricci flow on elliptic surfaces ⋮ The continuity equation, Hermitian metrics and elliptic bundles ⋮ The Kähler-Ricci flow, holomorphic vector fields and Fano bundles

Cites Work

• Unnamed Item
• Unnamed Item
• Metric flips with Calabi ansatz
• Interior derivative estimates for the Kähler-Ricci flow
• The Kähler-Ricci flow through singularities
• Canonical metrics on the moduli space of Riemann surfaces. II
• On a set of polarized Kähler metrics on algebraic manifolds
• Adiabatic limits of Ricci-flat Kähler metrics
• Deformation of Kähler metrics to Kähler-Einstein metrics on compact Kähler manifolds
• Existence and degeneration of Kähler-Einstein metrics on minimal algebraic varieties of general ype
• About the proofs of Calabi's conjectures on compact Kähler manifolds
• Deforming the metric on complete Riemannian manifolds
• Convergence of the Kähler-Ricci flow on noncompact Kähler manifolds
• Contracting exceptional divisors by the Kähler-Ricci flow
• Collapsing of abelian fibered Calabi-Yau manifolds
• On the collapsing rate of the Kähler-Ricci flow with finite-time singularity
• On the Kähler-Ricci flow on projective manifolds of general type
• The Kähler-Ricci flow on surfaces of positive Kodaira dimension
• Multiplier ideal sheaves and the Kähler-Ricci flow
• The collapsing rate of the Kähler-Ricci flow with regular infinite time singularity
• Canonical measures and Kähler-Ricci flow
• The Kähler–Ricci flow on Hirzebruch surfaces
• 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 on Projective Bundles
• Kähler-Ricci flow on projective bundles over Kähler-Einstein manifolds
• Contracting exceptional divisors by the Kähler-Ricci flow II