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Abstract
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We prove the existence of
HCMU metrics on S2 and T2 with explicit constructions and the solution of
appropriate ODEs.
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Keywords
Calabi energy, HCMU metric, Riemannian surface
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Mathematical Subject Classification 2000
Primary: 32C15, 53C21, 53C25, 53C55, 58D17
Secondary: 53C25, 32C15, 53C55, 53C21, 58D17
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Milestones
Received: 29 November 2007
Revised: 30 January 2009
Accepted: 4 February 2009
Published: 4 March 2009
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