...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Geometriae Dedicata >On the connected components of the moduli space of equivariant minimal surfaces in CH2documentclass12pt{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$$pmb {mathbb{C}mathbb{H}}^2$$end{document}.
【24h】

On the connected components of the moduli space of equivariant minimal surfaces in CH2documentclass12pt{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$$pmb {mathbb{C}mathbb{H}}^2$$end{document}.

机译：在 CH2documentclass12pt{minimal} 中等变最小曲面的模空间的连接分量上，usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$$pmb {mathbb{C}mathbb{H}}^2$$end{document}。

获取原文
获取原文并翻译 | 示例
   

获取外文期刊封面封底 >>

       
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

Abstract An equivariant minimal surface in CHndocumentclass12pt{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$$mathbb{C}mathbb{H}^n$$end{document} is a minimal map of the Poincaré disc into CHndocumentclass12pt{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$$mathbb{C}mathbb{H}^n$$end{document} which intertwines two actions of the fundamental group of a closed surface Σdocumentclass12pt{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$$Sigma $$end{document}: a Fuchsian representation on the disc and an irreducible action by isometries on CHndocumentclass12pt{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$$mathbb{C}mathbb{H}^n$$end{document}. The moduli space of these can been studied by relating it to the nilpotent cone in each moduli space of PU(n, 1)-Higgs bundles over the conformal surface corresponding to the map. By providing a necessary condition for points on this nilpotent cone to be smooth this article shows that away from the points corresponding to branched minimal immersions or ±-holomorphic immersions the moduli space is smooth. The argument is easily adapted to show that for RHndocumentclass12pt{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$$mathbb{R}mathbb{H}^n$$end{document} the full space of (unbranched) immersions is smooth. For CH2documentclass12pt{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$$mathbb{C}mathbb{H}^2$$end{document} we show that the connected components of the moduli space of minimal immersions are indexed by the Toledo invariant and the Euler number of the normal bundle of the immersion. This is achieved by studying the limit points of the C×documentclass12pt{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$$mathbb {C}^times $$end{document}-action on the nilpotent cone. It is shown that the limit points as t→0documentclass12pt{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$$trightarrow 0$$end{document} lead only to branched minimal immersions or ±-holomorphic immersions. In particular, the Euler number of the normal bundle can only jump by passing through branched minimal maps.
机译：摘要 CHndocumentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$$mathbb{C}mathbb{H}^n$$end{document} 是庞加莱圆盘到 CHndocumentclass[12pt]{minimal} 的最小映射 usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{amsbsy}usePackage{mathrsfs} usePackage{Upgreek} SetLength{OddSideMargin}{-69pt} begin{document}$$mathbb{C}mathbb{H}^n$$end{document} 它交织了闭合曲面的基本群的两个动作 Σdocumentclass[12pt]{minimal} usepackage{amsmath} usepackage{amsSym} usePackage{amsFonts} usePackage{amssymb} usePackage{amsbsy} usePackage{mathrsfs} usePackage{Upgreek} setLength{oddsidemargin}{-69pt} begin{document}$$Sigma $$end{document}：光盘上的 Fuchsian 表示以及等距对 CHndocumentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$$mathbb{C}mathbb{H}^n$$end{document} 上的不可约操作。这些模空间可以通过将其与对应于映射的共形表面上的 PU（n， 1）-Higgs 丛的每个模空间中的无能锥相关联来研究。通过为这个无能圆锥上的点提供光滑的必要条件，本文表明，远离对应于分支最小浸没或±全同浸的点，模空间是平滑的。该参数很容易调整为表明，对于 RHndocumentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$$mathbb{R}mathbb{H}^n$$end{document}，（无分支）沉浸的整个空间是平滑的。对于 CH2documentclass[12pt]{minimal} usepackage{amsmath}， usepackage{wasysym}， usepackage{amsfonts}， usepackage{amssymb}， usepackage{amsbsy}， usepackage{mathrsfs}， usepackage{upgreek}， setlength{oddsidemargin}{-69pt}， begin{document}$$mathbb{C}mathbb{H}^2$$end{document}，我们表明最小浸没模空间的连通分量由浸没的正态丛的托莱多不变量和欧拉数索引。这是通过研究 C×documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$$mathbb {C}^times $$end{document}-action 在无能圆锥上的极限点来实现的。结果显示，限制点为 t→0documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$$trightarrow 0$$end{document} 只会导致分支的最小沉浸或±全态沉浸。特别是，正态丛的欧拉数只能通过分支最小映射来跳跃。

著录项

相似文献

  • 外文文献
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号