Random Lie group actions on compact manifolds: A perturbative analysis
نویسندگان
چکیده
منابع مشابه
Lie group actions on compact
Let G be a homotopically trivial and effective compact Lie group action on a compact manifold N of nonpositive curvature. Under certain assumptions on N we prove that if G has dimension equal to rank of Center π1(N), then G must be connected. Furthermore, if on N there exists a point having negative definite Ricci tensor, then we show that G is the trivial group.
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ژورنال
عنوان ژورنال: The Annals of Probability
سال: 2010
ISSN: 0091-1798
DOI: 10.1214/10-aop544