Extremal Hermitian metrics on Riemann surfaces

DOI10.1007/s005260050123zbMath0947.53038OpenAlexW2793559637WikidataQ125757372 ScholiaQ125757372MaRDI QIDQ1291791

Xiuxiong Chen

Publication date: 12 November 2000

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s005260050123

zbMATH Keywords

cusp singularitypunctured Riemann surfaceextremal Hermitian metric

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Critical metrics (58E11)

Related Items (15)

HCMU surfaces and Weingarten surfaces ⋮ Multi-valued holomorphic functions and non-CSC extremal Kähler metrics with singularities on compact Riemann surfaces ⋮ On the existence of non-CSC extremal Kähler metrics with finite singularities on \(S^2\) ⋮ Ricci flow on surfaces with conical singularities ⋮ On one-dimensional and singular Calabi's extremal metrics whose Gauss curvatures have nonzero umbilical Hessians ⋮ A one-dimensional singular non-CSC extremal Kähler metric can be isometrically imbedded into \(\mathbb{R}^3\) as a Weingarten surface ⋮ Minimizers of a weighted maximum of the Gauss curvature ⋮ Non-CSC extremal Kähler metrics on \(S^2_{\{2,2,2\}}\) ⋮ One existence theorem for non-CSC extremal Kähler metrics with conical singularities on \(S^2\) ⋮ Local isometric imbedding of a compact Riemann surface with a singular non-CSC extremal Kähler metric into 3-dimension space forms ⋮ Extremal Kähler metrics and energy functionals on projective bundles ⋮ Extremal Hermitian metrics on Riemann surfaces with singularities ⋮ Geodesics in the space of singular Kähler potentials ⋮ Explicit isometric immersions from footballs to \(\mathbb{R}^3\) ⋮ On minimal immersions of a singular non-CSC extremal Kähler metric into 3-dimensional space forms

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