FUNDAMENTAL GROUPS OF CLOSED POSITIVELY CURVED MANIFOLDS WITH ALMOST DISCRETE ABELIAN GROUP ACTION

• 作 者: 王雨生
• 机 构: SchoolofMathematicalSciences（&,LaboratoryofMathematicsandComplexSystems）
• 出 处: 数学物理学报：B辑英文版
• 发表日期: 2010年1期
• 关键词: ABEL群 流形 基本群 离散 截面曲率 哥德堡 常数 π fundamental groups positive sectional curvature gr
• 基金项目: Supported partially by NSFC （10826052, 10671018）.

Let M be a closed n-manifold of positive sectional curvature.Assume that M admits an effiective isometrical T 1×Zkp-action with p prime.The main result of the article is that if k=1 for n=3 or k >(n+1)/4 for n≥5,then there exists a positive consta