Actions of discrete linear groups and Zimmer's conjecture
Actions of discrete linear groups and Zimmer's conjecture
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DOI：
10.4310/jdg/1214457549
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发表时间：
1995
影响因子：
2.5
通讯作者：
R. Feres
中科院分区：
文献类型：
--
作者：
R. Feres
考虑具有连接的高阶半单李群的格子群作为主ij束的自同构。在非等度量的假设下，在H和高阶群的相关条件满足的情况下，我们用两个本质上的代数例子证明了这类动作的分类。
We consider lattice subgroups of higher-rank semisimple Lie groups acting as automorphisms of principal iJ-bundles with connection. Under the assumption that the action is not iso- metric and that certain conditions relating H and the higher rank group are satisfied, we show that such actions are classi- fied by two essentially algebraic examples.