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- W2045019042 abstract "We prove that every complete conformal foliation of codimension is either Riemannian or a -foliation. We further prove that if is not Riemannian, it has a global attractor which is either a nontrivial minimal set or a closed leaf or a union of two closed leaves. In this theorem we do not assume that the manifold is compact. In particular, every proper conformal non-Riemannian foliation has a global attractor which is either a closed leaf or a union of two closed leaves, and the space of all nonclosed leaves is a connected -dimensional orbifold. We show that every countable group of conformal transformations of the sphere can be realized as the global holonomy group of a complete conformal foliation. Examples of complete conformal foliations with exceptional and exotic minimal sets as global attractors are constructed. Bibliography: 20 titles." @default.
- W2045019042 created "2016-06-24" @default.
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- W2045019042 date "2012-03-31" @default.
- W2045019042 modified "2023-09-25" @default.
- W2045019042 title "Global attractors of complete conformal foliations" @default.
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- W2045019042 doi "https://doi.org/10.1070/sm2012v203n03abeh004227" @default.
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