Topology of non-negatively curved manifolds

被引：0

作者：

Christine Escher

Wolfgang Ziller

机构：

[1] Oregon State University,

[2] University of Pennsylvania,undefined

来源：

Annals of Global Analysis and Geometry | 2014年 / 46卷

关键词：

Non-negative curvature; Sphere bundles; Eschenburg spaces; Kreck–Stolz invariants;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We study the topology of various sphere bundles over CP2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\hbox {CP}^{2}$$\end{document} which admit a metric with non-negative sectional curvature. We then compare their diffeomorphism types with known examples of positively curved manifolds, in particular Eschenburg spaces.

引用

页码：23 / 55

页数：32

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