Compact Lie group actions on finitistic spaces
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: Topology
سال: 1982
ISSN: 0040-9383
DOI: 10.1016/0040-9383(82)90019-2