On G-foliations
Robert Wolak (1985)
Annales Polonici Mathematici
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Robert Wolak (1985)
Annales Polonici Mathematici
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Rufus Bowen (1975)
Publications mathématiques et informatique de Rennes
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Hanna Matuszczyk (1988)
Annales Polonici Mathematici
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Ronaldo Garcia, Rémi Langevin, Paweł Walczak (2015)
Annales Polonici Mathematici
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We study the global behavior of foliations of ellipsoids by curves making a constant angle with the lines of curvature.
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.
Carlo Petronio (1999)
Rendiconti del Seminario Matematico della Università di Padova
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Konrad Blachowski (2002)
Annales Polonici Mathematici
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We study nontaut codimension one foliations on closed Riemannian manifolds. We find an estimate of some constant derived from the mean curvature function of the leaves of a foliation by some isoperimetric constant of the manifold. Moreover, for foliated 2-tori and the 3-dimensional unit sphere, we find the infimum of the former constants for all nontaut codimension one foliations.
Elmar Vogt (1989)
Publications Mathématiques de l'IHÉS
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Kenneth Millett (1987)
Fundamenta Mathematicae
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Hasselblatt, Boris, Wilkinson, Amie (1997)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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Robert A. Wolak (1989)
Publicacions Matemàtiques
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In this short note we find some conditions which ensure that a G foliation of finite type with all leaves compact is a Riemannian foliation of equivalently the space of leaves of such a foliation is a Satake manifold. A particular attention is paid to transversaly affine foliations. We present several conditions which ensure completeness of such foliations.
Atsushi Sato, Itiro Tamura (1981)
Publications Mathématiques de l'IHÉS
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Chaouch, Mohamed A. (2007)
Balkan Journal of Geometry and its Applications (BJGA)
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Richard Sacksteder (1975)
Annales de l'institut Fourier
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The author gives an example showing that Thurston’s stability theorem cannot be generalized to non-oriented foliations.
Vogt, Elmar (2002)
Algebraic & Geometric Topology
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C. Bonatti (1993)
Ensaios Matemáticos
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