RIGIDITY OF TRIVIAL ACTIONS OF ABELIAN-BY-CYCLIC GROUPS

被引：10

作者：

McCarthy, Anne E. ^{[1
]}

机构：

[1] Ft Lewis Coll, Dept Math, Durango, CO 81301 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2010年 / 138卷 / 04期

关键词：

COMPACT LEAVES; FIXED-POINTS; DIFFEOMORPHISMS; STABILITY;

D O I：

10.1090/S0002-9939-09-10173-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let FA denote the abelian-by-cyclic group associated to an integer-valued, non-singular matrix A. We show that if A has no eigenvalues of modulus one, then there are no faithful C(1) perturbations of the trivial action l : Gamma(A) -> Diff(1)(M), where M is a compact manifold.

引用

页码：1395 / 1403

页数：9

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