论文摘要
该文主要研究一类四维shrinking gradient Ricci solitons,它们具有半正迷向曲率（half-PIC）.该文证明了traceless Ricci曲率■的界可以控制Weyl张量的自对偶部分W+或反自对偶部分W的界.特别的,该文可以给出下述命题一个新的简单的证明:任何一个具有half-PIC的可定向四维Einstein流形,是半共形平坦的,从而一定等距于S4或CP2.作者还证明了在shrinking gradient Ricci soliton上成立一个更一般的结论.
论文目录
文章来源
类型: 期刊论文
作者: 张珠洪
关键词: 流形,半正迷向曲率,极值原理
来源: 数学物理学报 2019年05期
年度: 2019
分类: 基础科学
专业: 数学
单位: 华南师范大学数学科学学院
分类号: O186.12
页码: 1011-1017
总页数: 7
文件大小: 290K
下载量: 16
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