Incompressible Surfaces in Rank One Locally Symmetric Spaces

被引：17

作者：

Hamenstadt, Ursula ^{[1
]}

机构：

[1] Univ Bonn, Math Inst, D-53115 Bonn, Germany

来源：

GEOMETRIC AND FUNCTIONAL ANALYSIS | 2015年 / 25卷 / 03期

关键词：

37A25; 53B21; 53C35;

D O I：

10.1007/s00039-015-0330-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that cocompact lattices in rank one simple Lie groups of non-compact type distinct from SO(2m, 1)(m a parts per thousand yen 1) contain surface subgroups.

引用

页码：815 / 859

页数：45

共 17 条

[1]

Baker M., ARXIV14084691

[2]

Bergeron N, 2013, ASTERISQUE, P429

[3]

Borel A., 1963, TOPOLOGY, V2, P111, DOI 10.1016/0040-9383(63)90026-0

[4]

Bridson Martin R., 1999, Metric Spaces of Non-Positive Curvature, DOI [10.1007/978-3-662-12494-9, DOI 10.1007/978-3-662-12494-9]

[5] ON THE ERGODICITY OF FRAME FLOWS [J].

BRIN, M ;

GROMOV, M .

INVENTIONES MATHEMATICAE, 1980, 60 (01) :1-7

[6]

Buser P., 1992, BIRKHAUSER PROGR MAT, P106

[7]

CHEEGER J., 1975, North-Holland Mathematical Library, V9

[8]

COWLING M, 1988, J REINE ANGEW MATH, V387, P97

[9]

Goldman W.M., 1999, OXFORD MATH MONOGRAP

[10]

Kahn J., ARXIV11011330

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