Parabolic stable Higgs bundles over complete noncompact Riemann surfaces 被引量：2

Parabolic stable Higgs bundles over complete noncompact Riemann surfaces

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摘要 Let M be an open Riemann surface with a finite set of punctures, a complete Poincar(?)-like metric is introduced near the punctures and the equivalence between the stability of an indecomposable parabolic Higgs bundle, and the existence of a Hermitian-Einstein metric on the bundle is established. LetM be an open Riemann surface with a finite set of punctures, a complete Poincaré-like metric is introduced near the punctures and the equivalence between the stability of an indecomposable parabolic Higgs bundle, and the existence of a Hermitian-Einstein metric on the bundle is established.

作者李嘉禹王友德

出处《Science China Mathematics》 SCIE 1999年第3期255-263,共9页 中国科学：数学（英文版）

基金 Project surpported partially by the National Natural Science Foundation of China (Grant No. 19701034).

关键词 Higgs bundle Hermitian-Einslein metric parabolic stability Riemann surface Higgs bundle Hermitlan-Einstein metric parabolic stability Riemann surface.

分类号 O186.1 [理学—基础数学]

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参考文献10

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同被引文献16

1Rukmini Dey.A complete conformal metric of preassigned negative Gaussian curvature for a punctured hyperbolic Riemann surface[J].Proceedings of the Indian Academy of Sciences - Mathematical Sciences.2004(2)
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2汪悦,张希.非紧Riemman流形上的一类Kazdan-Warner型方程[J].中国科学（A辑）,2008,38(3):271-278.

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10Xiao Bao ZHU.Solutions for Toda System on Riemann Surface with Boundary[J].Acta Mathematica Sinica,English Series,2011,27(8):1501-1520.

Science China Mathematics

1999年第3期

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Parabolic stable Higgs bundles over complete noncompact Riemann surfaces 被引量：2

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