One existence theorem for non-CSC extremal Kähler metrics with conical singularities on \(S^2\)

DOI10.11650/tjm/8086zbMath1400.53032OpenAlexW2746458738MaRDI QIDQ1990366

Yingyi Wu, Zhiqiang Wei

Publication date: 25 October 2018

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.twjm/1502935240

zbMATH Keywords

conical singularitiesCalabi energyHCMU metric

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Manifolds of metrics (especially Riemannian) (58D17)

Related Items

On the existence of non-CSC extremal Kähler metrics with finite singularities on \(S^2\), A one-dimensional singular non-CSC extremal Kähler metric can be isometrically imbedded into \(\mathbb{R}^3\) as a Weingarten surface, Non-CSC extremal Kähler metrics on \(S^2_{\{2,2,2\}}\), Local isometric imbedding of a compact Riemann surface with a singular non-CSC extremal Kähler metric into 3-dimension space forms

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Character 1-form and the existence of an HCMU metric
• Existence and explicit constructions of HCMU metrics on \(\text{S}^{2}\) and \(\text{T}^{2}\)
• Extremal Hermitian metrics on Riemann surfaces
• Obstruction to the existence of metric whose curvature has umbilical Hessian in a \(K\)-surface
• Explicit construction of extremal Hermitian metrics with finite conical singularities on \(S^2\)
• Prescribing Curvature on Compact Surfaces with Conical Singularities