Higgs丛上Hermitian-Einstein度量的研究

Higgs丛上Hermitian-Einstein度量的研究

论文摘要

在这篇论文中,我们首先在紧致带边Hermitian流形上解决了Higgs-Hermitian-Einstein方程的Dirichlet问题.进一步,我们得到了一类完备非紧Hermitian流形上Higgs丛的Hermitian-Einstein度量的存在性结果.

论文目录

  • 摘要
  • ABSTRACT
  • 符号说明
  • 第1章 简介
  • 第2章 预备知识
  •   2.1 全纯向量丛
  •   2.2 Hermitian向量丛和Hermitian流形
  •   2.3 Laplace算子
  • 第3章 准备工作
  • 第4章 紧流形的结果
  • 第5章 完备非紧流形的结果
  •   5.1 长时间解的存在性
  •   5.2 解的收敛性
  • 参考文献
  • 致谢
  • 在读期间发表的学术论文与取得的研究成果
  • 文章来源

    类型: 硕士论文

    作者: 刘德斌

    导师: 张希

    关键词: 完备流形,度量

    来源: 中国科学技术大学

    年度: 2019

    分类: 基础科学

    专业: 数学

    单位: 中国科学技术大学

    分类号: O189.11

    总页数: 43

    文件大小: 1627K

    下载量: 10

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    Higgs丛上Hermitian-Einstein度量的研究
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