Haken 3-Manifolds in Small Covers  

作　　者：Lisu WU Li YU 

机构地区：[1]College of Mathematics and Systems Science,Shandong University of Science and Technology,Tsingtao 266590,Shandong,China [2]Department of Mathematics,Nanjing University,Nanjing 210093,China

出　　处：《Chinese Annals of Mathematics,Series B》2023年第4期549-560,共12页数学年刊（B辑英文版）

基　　金：supported by the National Natural Science Foundation of China(No.11871266);the Priority Academic Program Development of Jiangsu Higher Education Institutions。

摘　　要：The authors prove that a 3-dimensional small cover M is a Haken manifold if and only if M is aspherical or equivalently the underlying simple polytope is a flag polytope.In addition,they find that M being Haken is also equivalent to the existence of a Riemannian metric with non-positive sectional curvature on M.

关 键 词：Small cover Haken manifold Incompressible surface Flag polytope 

分 类 号：O186.12[理学—数学]