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New proof of a Calabi's theorem

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Publication:692652
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DOI10.1007/s11464-012-0232-3zbMath1254.30061OpenAlexW1814964389MaRDI QIDQ692652

Yingyi Wu

Publication date: 6 December 2012

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-012-0232-3


zbMATH Keywords

compact Riemann surfaceextremal metric


Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25)




Cites Work

  • Character 1-form and the existence of an HCMU metric
  • Existence and explicit constructions of HCMU metrics on \(\text{S}^{2}\) and \(\text{T}^{2}\)
  • 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 \(S^2\)


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