An obstruction to the existence of real projective structures

被引:2
作者
Coban, Hatice [1 ]
机构
[1] Middle East Tech Univ, Dept Math, Ankara, Turkey
关键词
Real projective structure; Developing map and holonomy;
D O I
10.1016/j.topol.2019.106828
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this short note, we give an obstruction to obtain examples of higher dimensional manifolds with infinite fundamental groups, including the infinite cyclic group Z, admitting no real projective structure. (C) 2019 Elsevier B.V. All rights reserved.
引用
收藏
页数:3
相关论文
共 9 条
[1]   The classification of real projective structures on compact surfaces [J].
Choi, S ;
Goldman, WM .
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1997, 34 (02) :161-171
[2]  
Coban H, 2017, THESIS
[3]  
Cooper D., 2015, Annales de la Faculte des sciences de Toulouse: Mathematiques, V24, P1219, DOI DOI 10.5802/AFST.1482
[4]  
GOLDMAN W. M, 2007, NOTICES AM MATH SOC, V54, P30
[5]  
Goldman WM, 2010, PROCEEDINGS OF THE INTERNATIONAL CONGRESS OF MATHEMATICIANS, VOL II: INVITED LECTURES, P717
[6]  
Goldman William M., 1988, Contemp. Math, P169
[7]  
Milnor John W., 1974, ANN MATH STUD, p[5, 155]
[8]  
Ratcliffe J., 2006, FDN HYPERBOLIC MANIF, V149
[9]  
Thurston W P, 1997, Princeton Mathematical Series, V35