On the existence of nontrivial extremal metrics on complete noncompact surfaces

DOI10.1007/s00208-002-0349-xzbMath1028.53041OpenAlexW2084821652MaRDI QIDQ1865570

Shu-Cheng Chang

Publication date: 27 March 2003

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00208-002-0349-x

zbMATH Keywords

Kähler manifoldBochner-Lichnerowicz formulaextremal metricsasymptotic convergence2-dimensional local Calabi flow on a complete noncompact surfaceBondi-mass type estimateHarnack-type estimateinitial value problem of fourth order parabolic equationnonconstant Gaussian curvature

Mathematics Subject Classification ID

Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items (5)

CANONICAL METRICS ON CARTAN–HARTOGS DOMAINS ⋮ Canonical metrics on generalized Cartan-Hartogs domains ⋮ Three-manifolds with small \(L^2\)-norm of traceless-Ricci curvature pinching ⋮ Canonical metrics on Hartogs domains ⋮ Extremal Kähler metrics induced by finite or infinite-dimensional complex space forms

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