SUPERRIGIDITY, RATNER THEOREM, AND FUNDAMENTAL-GROUPS

被引：7
作者：
ZIMMER, RJ
机构：
[1] Department of Mathematics, University of Chicago, Chicago, 60637, IL
来源：
ISRAEL JOURNAL OF MATHEMATICS | 1991年 / 74卷 / 2-3期
关键词：
D O I：
10.1007/BF02775786
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We discuss the implications of superrigidity and Ratner's theorem on invariant measures on homogeneous spaces for understanding the fundamental group of manifolds with an action of a semisimple Lie group.
引用
收藏
页码：199 / 207
页数：9
相关论文
共 9 条
[1]  
GROMOV M, 1988, RATND TRANSFORMATION
[2]  
RATNER M, IN PRESS RAGHUNATHAN
[3]  
SPATZIER R, IN PRESS TOPOLOGY
[4]  
Zimmer R.J., 1984, MONOGRAPHS MATH
[5]  
Zimmer R. J., 1987, GROUP REPRESENTATION
[6]   UNITARY SPECTRUM AND THE FUNDAMENTAL GROUP FOR ACTIONS OF SEMISIMPLE LIE-GROUPS [J].
ZIMMER, RJ .
MATHEMATISCHE ANNALEN, 1990, 287 (04) :697-701
[7]   EXTENSIONS OF ERGODIC GROUP ACTIONS [J].
ZIMMER, RJ .
ILLINOIS JOURNAL OF MATHEMATICS, 1976, 20 (03) :373-409
[8]   ON THE ALGEBRAIC HULL OF AN AUTOMORPHISM GROUP OF A PRINCIPAL BUNDLE [J].
ZIMMER, RJ .
COMMENTARII MATHEMATICI HELVETICI, 1990, 65 (03) :375-387
[9]  
ZIMMER RJ, 1989, J AM MATH SOC, V0002, P00201
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