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Regular version of the site

Article

On existence of global attractors of foliations with transverse linear connections

Differential Geometry and its Application. 2021. Vol. 74. P. 1-23.

The  existence problem for attractors of foliations with transverse linear connection
is investigated. In general foliations with transverse linear connection do not
admit attractors. A conditions that implies the existence of a global attractor which is
a minimal set, is specified. An application to transversely similar pseudo-Riemannian
foliations is obtained. The global structure of transversely similar Riemannian
foliations is described. Different examples are constructed.