Extremal metrics on toric surfaces: a continuity method
From MaRDI portal
Publication:936509
DOI10.4310/jdg/1213798183zbMath1151.53030OpenAlexW1540162385WikidataQ115194653 ScholiaQ115194653MaRDI QIDQ936509
Publication date: 14 August 2008
Published in: Journal of Differential Geometry (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.jdg/1213798183
Global Riemannian geometry, including pinching (53C20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)
Related Items
Solvability of a class of singular fourth order equations of Monge-Ampère type, Extremal metrics on toric surfaces, Toric Sasaki-Einstein metrics with conical singularities, Variational solutions to extremal metrics on toric surfaces, \(W^{4, p}\) solution to the second boundary value problem of the prescribed affine mean curvature and Abreu's equations, A Bernstein theorem for the Abreu equation, Generalized Kähler-Ricci flow on toric Fano varieties, On the extension and smoothing of the Calabi flow on complex tori, Extremal Kähler Poincaré type metrics on toric varieties, Differential inequalities on homogeneous toric bundles, Relative algebro-geometric stabilities of toric manifolds, Slope instability of projective spaces blown up along a line, Prescribed scalar curvatures for homogeneous toric bundles, Extremal metrics on toric manifolds and homogeneous toric bundles, Bernstein problem of affine maximal type hypersurfaces on dimension \(N \geq 3\), A Yau-Tian-Donaldson correspondence on a class of toric fibrations, Constant scalar curvature Sasaki metrics and projective bundles, The Guillemin boundary problem for Monge-Ampère equation in the polygon, A Note on Extremal Toric Almost Kähler Metrics, Interior regularity on the Abreu equation, On the existence and nonexistence of extremal metrics on toric Kähler surfaces, Boundary regularity for solutions to the linearized Monge-Ampère equations, The global existence and convergence of the Calabi flow on \(\mathbb C^{n}/\mathbb Z^{n}+i \mathbb Z^{n}\), A Bernstein theorem for affine maximal-type hypersurfaces, The Calabi flow on Kähler surfaces with bounded Sobolev constant. I, Interior estimates for the \(n\)-dimensional Abreu's equation, Global \(W^{2,p}\) estimates for solutions to the linearized Monge-Ampère equations, Deformations of extremal toric manifolds, Toric surfaces, \(K\)-stability and Calabi flow, The Bernstein theorem for a class of fourth order equations, Kähler–Einstein Metrics on Toric Manifolds and G-manifolds, The Monge-Ampère equation with Guillemin boundary conditions, On the constant scalar curvature Kähler metrics (II)—Existence results, The interior regularity of the Calabi flow on a toric surface, ALE scalar-flat Kähler metrics on non-compact weighted projective spaces, Extremal metrics on blowups, The complex Monge-Ampère equation on compact Kähler manifolds, On the extension of Calabi flow on toric varieties, A Bernstein theorem for affine maximal type hypersurfaces under decaying convexity, On Calabi extremal Kähler-Ricci solitons, The Bernstein problem for affine maximal type hypersurfaces under decaying convexity, Interior regularity for the generalized Abreu equation, Existence and non-uniqueness of constant scalar curvature toric Sasaki metrics, On Calabi’s extremal metric and properness, Interior second derivative estimates for solutions to the linearized Monge-Ampère equation, Convergence of the Calabi flow on toric varieties and related Kähler manifolds, Toric Kähler-Einstein metrics and convex compact polytopes, 2-dimensional Kähler-Einstein metrics induced by finite dimensional complex projective spaces