Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
Geometry of Kähler metrics and foliations by holomorphic discs - MaRDI portal

Geometry of Kähler metrics and foliations by holomorphic discs

From MaRDI portal
Publication:1044353

DOI10.1007/s10240-008-0013-4zbMath1182.32009arXivmath/0507148OpenAlexW2064713084MaRDI QIDQ1044353

Xiuxiong Chen, Tian, Gang

Publication date: 11 December 2009

Published in: Publications Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0507148




Related Items (max. 100)

K-semistable Fano manifolds with the smallest alpha invariantOn the existence of constant scalar curvature Kähler metric: a new perspectiveOn the maximal rank problem for the complex homogeneous Monge-Ampère equationConvexity of the 𝐾-energy on the space of Kähler metrics and uniqueness of extremal metricsRC-positivity and scalar-flat metrics on ruled surfacesExtremal metrics on toric surfacesThe Gursky-Streets equationsThe twisted Kähler-Ricci flowExistence of Einstein Metrics on Fano ManifoldsOn K-stability and the volume functions of ℚ-Fano varieties: Table 1.Complex Monge-Ampère equations and totally real submanifoldsAlpha invariants and coercivity of the Mabuchi functional on Fano manifoldsBlowing up and desingularizing constant scalar curvature Kähler manifoldsOn the \(C^{1,1}\) regularity of geodesics in the space of Kähler metricsRegularizing properties of the twisted Kähler-Ricci flowA note on the space of Kähler metricsMagnetic Geodesics on the Space of K\"ahler PotentialsApproximation of weak geodesics and subharmonicity of Mabuchi energyCoupled equations for Kähler metrics and Yang-Mills connectionsEnergy functionals and canonical Kähler metricsThe Calabi homomorphism, Lagrangian paths and special LagrangiansRegular quantizations and covering mapsGeometric Constructions of Extremal Metrics on Complex ManifoldsExamples of K-Unstable Fano Manifolds with the Picard Number 1Approximation of weak geodesics and subharmonicity of Mabuchi energy. II: \(\varepsilon\)-geodesicsA valuative criterion for uniform K-stability of \(\mathbb{Q}\)-Fano varietiesConstant scalar curvature Kähler metrics on rational surfacesAlpha invariant and K-stability of \(\mathbb Q\)-Fano varietiesRegularity of the geodesic equation in the space of Sasakian metricsHarmonic discs of solutions to the complex homogeneous Monge-Ampère equationThe Abreu equation with degenerated boundary conditionsInterior regularity on the Abreu equationCurvature of the completion of the space of Sasaki potentialsThe Calabi metric for the space of Kähler metricsA generalization of the Ross-Thomas slope theoryBirational superrigidity and slope stability of Fano manifoldsRegularity scales and convergence of the Calabi flowThe Calabi flow on Kähler surfaces with bounded Sobolev constant. ILower bounds on the modified \(K\)-energy and complex deformationsCurvature of the space of positive LagrangiansLong time existence of minimizing movement solutions of Calabi flowThe Dirichlet problem for the complex homogeneous Monge-Ampère equationGeometry and topology of the space of plurisubharmonic functionsHamiltonian 2-forms in Kähler geometry. III: Extremal metrics and stabilityWeyl curvature, del Pezzo surfaces, and almost-Kähler geometry\(C^{2,\alpha}\) estimates for nonlinear elliptic equations in complex and almost complex geometryThe modified cusp Kähler-Ricci flow and solitonOn the constant scalar curvature Kähler metrics (II)—Existence resultsThe interior regularity of the Calabi flow on a toric surfaceThe space of Poincaré type Kähler metrics on the complement of a divisorThe Kähler-Ricci flow through singularitiesA formal Riemannian structure on conformal classes and the inverse Gauss curvature flowSlope stability and exceptional divisors of high genusConvergence of Bergman geodesics on \(\text{CP}^1\)Liouville energy on a topological two sphereExtremal metrics on blowupsNote on scalar curvature of extremal Kähler metrics on \(\mathbb{C} P^2 \# 2 \overline{\mathbb{C} P^2}\)A criterion for the properness of the \(K\)-energy in a general Kähler classA splitting theorem for extremal Kähler metricsExtremal Kähler metrics on projective bundles over a curveRelative Chow stability and extremal metricsWermer examples and currentsUnstable products of smooth curvesGeometry and topology of the space of Kähler metrics on singular varietiesThe consistency and convergence of K-energy minimizing movementsA formal Riemannian structure on conformal classes and uniqueness for the \(\sigma_2\)-Yamabe problemThe Monge-Ampère operator and geodesics in the space of Kähler potentialsBlowing up Kähler manifolds with constant scalar curvature. II.Greatest lower bounds on the Ricci curvature of Fano manifoldsCalabi flow, geodesic rays, and uniqueness of constant scalar curvature Kähler metricsExtremal metrics and lower bound of the modified K-energyK-stability of constant scalar curvature Kähler manifoldsA criterion for the properness of the K-energy in a general Kähler class (II)Hyperdiscriminant polytopes, Chow polytopes, and Mabuchi energy asymptoticsExtremal Kähler metrics and energy functionals on projective bundlesOn homothetic balanced metricsExamples on Loewy filtrations and K-stability of Fano varieties with non-reductive automorphism groupsThe Complex Monge–Ampère Equation in Kähler GeometryOn the convergence of the Calabi flowPartial Legendre transforms of non-linear equationsGeodesic convexity of small neighborhood in the space of Kähler potentialsStrict convexity of the Mabuchi functional for energy minimizersBlowing up extremal Kähler manifolds. IIConvergence of the generalized Kähler-Ricci flowWeak solutions to degenerate complex Monge-Ampère flows. II



Cites Work


This page was built for publication: Geometry of Kähler metrics and foliations by holomorphic discs