On G-foliations
Robert Wolak (1985)
Annales Polonici Mathematici
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Robert Wolak (1985)
Annales Polonici Mathematici
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Elmar Vogt (1989)
Publications Mathématiques de l'IHÉS
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Elmar Vogt (1977)
Mathematische Zeitschrift
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Rufus Bowen (1975)
Publications mathématiques et informatique de Rennes
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Carlo Petronio (1999)
Rendiconti del Seminario Matematico della Università di Padova
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Vogt, Elmar (2002)
Algebraic & Geometric Topology
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Atsushi Sato, Itiro Tamura (1981)
Publications Mathématiques de l'IHÉS
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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.
John Cantwell, Lawrence Conlon (1983)
Mathematische Annalen
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Hanna Matuszczyk (1988)
Annales Polonici Mathematici
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Kenneth Millett (1987)
Fundamenta Mathematicae
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Elmar Vogt (1993)
Mathematische Annalen
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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.