Pacific Journal of Mathematics Vol. 240, No. 2, 2009

Download this article
	For screen
	For printing

Recent Issues

Vol. 243: 1 2

Vol. 242: 1 2

Vol. 241: 1 2

Vol. 240: 1 2

Vol. 239: 1 2

Vol. 238: 1 2

Vol. 237: 1 2

Vol. 236: 1 2

Online Archive

Volume:

Issue:

1

2

3

4

Volumes 1–176 are stored at Project Euclid

The Journal

Editorial Board

How To

Submissions Guidelines

Submissions Page

Elect. License Agreement

Test your IP address

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

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