Toroidal Lie group actions on compact Riemannian manifolds and their relations to the fibering problem.
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: Banach Center Publications
سال: 1984
ISSN: 0137-6934,1730-6299
DOI: 10.4064/-12-1-233-240