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Regular version of the site

Book chapter

Attractors of Conformal Foliations

P. 238-247.

We investigated conformal foliations $(M,F)$ of
codimension $q\geq 3$ and proved a criterion for them to be
Riemannian. In particular, the application of this criterion allowed
us to proof the existence of an attractor that is a minimal set for
each non-Riemannian conformal foliation. Moreover, if foliated
manifold is compact then non-Riemannian conformal foliation $(M,F)$
is $(Conf(S^q),S^q)$-foliation with finitely many minimal sets. They
are all attractors, and each leaf of the foliation belongs to the
basin of at least one of them. The specificity of the proper
conformal foliations is indicated. Special attention is given to
complete conformal foliations.