Welcome to Journal of University of Chinese Academy of Sciences,Today is

›› 2016, Vol. 33 ›› Issue (1): 16-22.DOI: 10.7523/j.issn.2095-6134.2016.01.003

• Research Articles • Previous Articles     Next Articles

An existence theorem and energy integral formula of HCMU metrics

WEI Zhiqiang, WU Yingyi   

  1. School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 101408, China
  • Received:2014-10-08 Revised:2015-03-06 Online:2016-01-15

Abstract:

An HCMU metric is an extremal Kähler metric with singularities on a compact Riemann surface. We prove an existence theorem of non-CSC HCMU metrics with conical singularities, and discuss the energy integral formula for general non-CSC HCMU metrics.

Key words: extremal Kä, hler metric, extremal Hermitian metric, non-CSC HCMU metric, conical singularity, cusp singularity

CLC Number: