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-  2016 

S2上一类HCMU度量的存在性
Existence of a class HCMU metric on S2

DOI: 10.7523/j.issn.2095-6134.2016.05.001

Keywords: 极值度量,紧黎曼面,HCMU度量,锥奇点
extremal metric
,compact Riemann surface,HCMU metric,conical singularity

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Abstract:

摘要 HCMU度量是紧黎曼面上带奇点的extremal度量.研究它的存在性十分重要.通过研究Chen和Wu(Pacific J Math,2009,240(2):267-288)给出的S2上HCMU度量存在的充分必要条件,证明当S2上至少有(N-1)个鞍点时,一定存在non-CSC HCMU度量,其中N是所有锥奇点的个数.

References

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