Foliations, locally Lie groupoids and holonomy
Ronald Brown, Osman Mucuk (1996)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Ronald Brown, Osman Mucuk (1996)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Ivanshin, Pyotr N. (2003)
Southwest Journal of Pure and Applied Mathematics [electronic only]
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Piątkowski, Andrzej (2015-12-13T07:58:49Z)
Acta Universitatis Lodziensis. Folia Mathematica
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Jan Kubarski, Tomasz Rybicki (2004)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Macho-Stadler, M. (2000)
Zapiski Nauchnykh Seminarov POMI
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Giko Ikegami (1989)
Inventiones mathematicae
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Małgorzata Józefowicz, R. Wolak (2007)
Banach Center Publications
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The space of the closures of leaves of a Riemannian foliation is a nice topological space, a stratified singular space which can be topologically embedded in for k sufficiently large. In the case of Orbit Like Foliations (OLF) the smooth structure induced by the embedding and the smooth structure defined by basic functions is the same. We study geometric structures adapted to the foliation and present conditions which assure that the given structure descends to the leaf closure space....
Calegari, Danny (2002)
Algebraic & Geometric Topology
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Robert A. Wolak (1994)
Publicacions Matemàtiques
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Let F be a singular Riemannian foliation on a compact connected Riemannian manifold M. We demonstrate that global foliated vector fields generate a distribution tangent to the strata defined by the closures of leaves of F and which, in each stratum, is transverse to these closures of leaves.
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.
Robert Wolak (1985)
Annales Polonici Mathematici
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Marius Crainic, Ivan Struchiner (2013)
Annales scientifiques de l'École Normale Supérieure
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We revisit the linearization theorems for proper Lie groupoids around general orbits (statements and proofs). In the fixed point case (known as Zung’s theorem) we give a shorter and more geometric proof, based on a Moser deformation argument. The passage to general orbits (Weinstein) is given a more conceptual interpretation: as a manifestation of Morita invariance. We also clarify the precise statements of the Linearization Theorem (there has been some confusion on this, which has propagated...
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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