Displaying similar documents to “Geometry of Markov systems and codimension one foliations”

Leaves of Markov local minimal sets in foliations of codimension one.

John Cantwell, Lawrence Conlon (1989)

Publicacions Matemàtiques

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The authors continue their study of exceptional local minimal sets with holonomy modeled on symbolic dynamics (called Markov LMS [C-C 1]). Here, an unpublished theorem of G. Duminy, on the topology of semiproper exceptional leaves, is extended to every leaf, semiproper or not, of a Markov LMS. Other topological results on these leaves are also obtained.

On G-foliations

Robert Wolak (1985)

Annales Polonici Mathematici

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A note on generalized flag structures

Tomasz Rybicki (1998)

Annales Polonici Mathematici

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Generalized flag structures occur naturally in modern geometry. By extending Stefan's well-known statement on generalized foliations we show that such structures admit distinguished charts. Several examples are included.

On foliations with leaves satisfying some geometrical conditions

Paweł Grzegorz Walczak

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CONTENTSIntroduction.................................................51. Preliminaries...........................................6 1. A. Foliations...........................................7 1. B. Geometry of submanifolds.................92. The characteristic form..........................113. Stability of minimal foliations..................184. A metric on the space of foliations.........245. Jacobi fields on leaves..........................276. The Gauss mapping of a foliation.........37References...............................................45 ...

Irreducible Markov systems on Polish spaces

Katarzyna Horbacz, Tomasz Szarek (2006)

Studia Mathematica

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Contractive Markov systems on Polish spaces which arise from graph directed constructions of iterated function systems with place dependent probabilities are considered. It is shown that their stability may be studied using the concentrating methods developed by the second author [Dissert. Math. 415 (2003)]. In this way Werner's results obtained in a locally compact case [J. London Math. Soc. 71 (2005)] are extended to a noncompact setting.