scientific article; zbMATH DE number 5057425

zbMath1106.32018arXivmath/0603493MaRDI QIDQ5490929

Toshiki Mabuchi

Publication date: 26 September 2006

Full work available at URL: https://arxiv.org/abs/math/0603493

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Kähler-Einstein metricsextremal Kähler metricsCalabi's conjectureYau's conjecturebalanced metricsHitchin-Kobayashi correspondenceK-energyGIT (geometric invariant theory)K-stableasymptotic Bergman kernelCatlin-Lu-Tian-Zelditch's theoremChow-Mumford stableFutaki's charactergeometry of Kähler potentialsGieseker's stability for surfaces of general typeHilbert-Mumford stableMatsushima's obstructionstability theorems by Donaldson and TianTakemoto-Mumford stable

Mathematics Subject Classification ID

Kähler manifolds (32Q15) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (3)

Extremal metrics on toric surfaces ⋮ Integral Kähler invariants and the Bergman kernel asymptotics for line bundles ⋮ Note on scalar curvature of extremal Kähler metrics on \(\mathbb{C} P^2 \# 2 \overline{\mathbb{C} P^2}\)

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