Existence of foliations of Euclidean spaces with all leaves compact.
Elmar Vogt (1993)
Mathematische Annalen
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Elmar Vogt (1993)
Mathematische Annalen
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Chaouch, Mohamed A. (2007)
Balkan Journal of Geometry and its Applications (BJGA)
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Adam Bartoszek, Jerzy Kalina, Antoni Pierzchalski (2010)
Bulletin of the Polish Academy of Sciences. Mathematics
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A Weitzenböck formula for SL(q)-foliations is derived. Its linear part is a relative trace of the relative curvature operator acting on vector valued forms.
Chao-Chu Liang (1976)
Mathematische Annalen
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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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Carlo Petronio (1999)
Rendiconti del Seminario Matematico della Università di Padova
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Atsushi Sato, Itiro Tamura (1981)
Publications Mathématiques de l'IHÉS
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D. FERUS (1970)
Mathematische Annalen
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Richard Sacksteder (1964)
Annales de l'institut Fourier
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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.
David E. Barrett (1990)
Mathematische Zeitschrift
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Elmar Vogt (1989)
Publications Mathématiques de l'IHÉS
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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.