On modified Mabuchi functional and Mabuchi moduli space of Kähler metrics on toric bundles
From MaRDI portal
Publication:1574754
DOI10.4310/MRL.1999.v6.n5.a7zbMath0968.53050MaRDI QIDQ1574754
Publication date: 13 August 2000
Published in: Mathematical Research Letters (Search for Journal in Brave)
Global differential geometry of Hermitian and Kählerian manifolds (53C55) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Critical metrics (58E11) Manifolds of metrics (especially Riemannian) (58D17)
Related Items (44)
Convexity of the 𝐾-energy on the space of Kähler metrics and uniqueness of extremal metrics ⋮ Interpolation of weighted extremal functions ⋮ Koszul information geometry and Souriau geometric temperature/capacity of Lie group thermodynamics ⋮ Geometric pluripotential theory on Sasaki manifolds ⋮ Extremal Kähler Poincaré type metrics on toric varieties ⋮ Nontrivial examples of coupled equations for Kähler metrics and Yang-Mills connections ⋮ A Yau-Tian-Donaldson correspondence on a class of toric fibrations ⋮ An effective weighted K-stability condition for polytopes and semisimple principal toric fibrations ⋮ Plurisubharmonic geodesics and interpolating sets ⋮ Complete Kähler metrics with positive holomorphic sectional curvatures on certain line bundles (related to a cohomogeneity one point of view on a Yau conjecture) ⋮ A Note on Extremal Toric Almost Kähler Metrics ⋮ Weighted K-stability for a class of non-compact toric fibrations ⋮ 𝐾-stability on toric manifolds ⋮ The global existence and convergence of the Calabi flow on \(\mathbb C^{n}/\mathbb Z^{n}+i \mathbb Z^{n}\) ⋮ Toric aspects of the first eigenvalue ⋮ A maximum rank problem for degenerate elliptic fully nonlinear equations ⋮ The Cauchy problem for the homogeneous Monge-Ampère equation. II: Legendre transform ⋮ Lower bounds on the modified \(K\)-energy and complex deformations ⋮ Minimizing weak solutions for Calabi's extremal metrics on toric manifolds ⋮ Unnamed Item ⋮ On generalized Kähler-Ricci solitons ⋮ Uniqueness and examples of compact toric Sasaki-Einstein metrics ⋮ Hamiltonian 2-forms in Kähler geometry. III: Extremal metrics and stability ⋮ Vector Field Energies and Critical Metrics on Kähler Manifolds ⋮ On the constant scalar curvature Kähler metrics (II)—Existence results ⋮ Relative K-stability and modified K-energy on toric manifolds ⋮ ALE scalar-flat Kähler metrics on non-compact weighted projective spaces ⋮ Convergence of Bergman geodesics on \(\text{CP}^1\) ⋮ Uniqueness of Sasaki-Einstein metrics ⋮ Moser vector fields and geometry of the Mabuchi moduli space of Kähler metrics ⋮ Type II compact almost homogeneous manifolds of cohomogeneity one-II ⋮ Extremal metrics and lower bound of the modified K-energy ⋮ Mabuchi metrics and properness of the modified Ding functional ⋮ Regularity of geodesics in the spaces of convex and plurisubharmonic functions ⋮ Type I almost-homogeneous manifolds of cohomogeneity one. IV ⋮ Existence and non-uniqueness of constant scalar curvature toric Sasaki metrics ⋮ Extremal Kähler metrics and energy functionals on projective bundles ⋮ EXISTENCE OF EXTREMAL METRICS ON ALMOST HOMOGENEOUS MANIFOLDS OF COHOMOGENEITY ONE — III ⋮ On Calabi’s extremal metric and properness ⋮ The Complex Monge–Ampère Equation in Kähler Geometry ⋮ Bergman metrics and geodesics in the space of Kähler metrics on principally polarized abelian varieties ⋮ Partial Legendre transforms of non-linear equations ⋮ Maxwell-Einstein metrics on completions of certain \(\mathrm{C}^\ast\) bundles ⋮ Existence of extremal metrics on almost homogeneous manifolds of cohomogeneity one. II
This page was built for publication: On modified Mabuchi functional and Mabuchi moduli space of Kähler metrics on toric bundles
