Vol. 240, No. 2, 2009

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Existence and explicit constructions of HCMU metrics on S2 and T2

Qing Chen and Yingyi Wu

Vol. 240 (2009), No. 2, 267–288
Abstract

We prove the existence of HCMU metrics on S2 and T2 with explicit constructions and the solution of appropriate ODEs.

Keywords
Calabi energy, HCMU metric, Riemannian surface
Mathematical Subject Classification 2000
Primary: 32C15, 53C21, 53C25, 53C55, 58D17
Secondary: 53C25, 32C15, 53C55, 53C21, 58D17
Milestones
Received: 29 November 2007
Revised: 30 January 2009
Accepted: 4 February 2009
Published: 4 March 2009
Authors
Qing Chen
Department of Mathematics
University of Science and Technology of China
Hefei, Anhui 230026
China
Yingyi Wu
School of Mathematical Sciences
Graduate University of the Chinese Academy of Sciences
Beijing 100049
China