Long time existence of minimizing movement solutions of Calabi flow

DOI10.1016/j.aim.2014.03.027zbMath1296.53134arXiv1208.2718OpenAlexW2962715579WikidataQ124897861 ScholiaQ124897861MaRDI QIDQ2450115

Jeffrey Streets

Publication date: 16 May 2014

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.2718

zbMATH Keywords

Kähler manifoldCalabi flowminimizing movements

Mathematics Subject Classification ID

Related Items (19)

On the existence of constant scalar curvature Kähler metric: a new perspective ⋮ Convexity of the 𝐾-energy on the space of Kähler metrics and uniqueness of extremal metrics ⋮ Convexity of the extended K-energy and the large time behavior of the weak Calabi flow ⋮ On the extension and smoothing of the Calabi flow on complex tori ⋮ The Mabuchi geometry of finite energy classes ⋮ Comparison of the Calabi and Mabuchi geometries and applications to geometric flows ⋮ Tian’s properness conjectures and Finsler geometry of the space of Kähler metrics ⋮ Regularity scales and convergence of the Calabi flow ⋮ Curvature of the space of positive Lagrangians ⋮ The long-time behavior of modified Calabi flow ⋮ Tian’s Properness Conjectures:An Introduction to Kähler Geometry ⋮ On sharp lower bounds for Calabi-type functionals and destabilizing properties of gradient flows ⋮ On the constant scalar curvature Kähler metrics (I)—A priori estimates ⋮ A formal Riemannian structure on conformal classes and the inverse Gauss curvature flow ⋮ Kähler non-collapsing, eigenvalues and the Calabi flow ⋮ Kähler-Ricci flow, Kähler-Einstein metric, and K-stability ⋮ Geometric pluripotential theory on Kähler manifolds ⋮ On the convergence of the Calabi flow ⋮ A Chern-Calabi flow on Hermitian manifolds

Cites Work

• Semi-global existence and convergence of solutions of the Robinson-Trautman (2-dimensional Calabi) equation
• Calabi flow and projective embeddings
• Space of Kähler metrics. III: On the lower bound of the Calabi energy and geodesic distance
• Geometry of Kähler metrics and foliations by holomorphic discs
• On Kähler-Einstein metrics on certain Kähler manifolds with \(C_ 1(M)>0\)
• K-energy maps integrating Futaki invariants
• Some symplectic geometry on compact Kähler manifolds. I
• Gradient flows on nonpositively curved metric spaces and harmonic maps
• The space of Kähler metrics.
• The space of Kähler metrics. II.
• Sobolev spaces and harmonic maps for metric space targets
• Convergence of the Calabi flow on toric varieties and related Kähler manifolds
• Toric surfaces, \(K\)-stability and Calabi flow
• The consistency and convergence of K-energy minimizing movements
• Complex Monge-Ampere and Symplectic Manifolds
• Remarks on extremal Kähler metrics on ruled manifolds
• On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I
• Generation of Semi-Groups of Nonlinear Transformations on General Banach Spaces
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Long time existence of minimizing movement solutions of Calabi flow