Actions of discrete groups on spheres and real projective spaces

被引:0
|
作者
Hinojosa, Gabriela [1 ]
Verjovsky, Alberto [2 ]
机构
[1] Univ Autonoma Estado Morelos, Cuernavaca 62209, Morelos, Mexico
[2] Univ Nacl Autonoma Mexico, Inst Matemat, Unidad Cuernavaca, Cuernavaca 62209, Morelos, Mexico
来源
关键词
wild Cantor sets; discrete actions and Kleinian Groups;
D O I
10.1007/s00574-008-0077-2
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we first define discrete, smooth actions on S(2n+1), whose limit sets are Cantor sets wildly embedded in S(2n+1)(Antoine's necklaces). Secondly, we define Schottky groups on real projective spaces of odd dimensions, P(R)(2n+1) . We lift these actions to (locally) projective actions on the sphere S(2n+1) and consider the quotient space of the domain of discontinuity by the group to obtain new examples of manifolds with real projective structures.
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页码:157 / 171
页数:15
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