Feuilletages riemanniens et pseudogroupes d’isométries

Diplôme Thèse Feuilletages riemanniens et pseudogroupes d’isométries fre 1987-07-16 author Salem Eliane 31862 director Haefliger André 24911 120 10.13097/archive-ouverte/unige:191620 Sc. 2265 A Riemannian foliation F can be given by local submersions on a transversal manifold T, the transverse coordinates transformations being local isometries of T. We study the differentiable equivalence class of the holonomy pseudogroup X of F ( which is the pseudogroup acting on T generated by the transverse coordinate transformations). When the foliated manifold is complete, X is a complete pseudogroup of isometries. Its closure for the c1 topology is a Lie pseudogroup, and the orbit closures are embedded submanifolds of T. We give a local model for X when the foliated manifold is simply connected. We then explain how these local models can be glued together when the space of leaf closures is of dimension less than or equal to 2. We thus obtain a classification of the holonomy pseudogroups of Riemannian foliations on complete simply connected spaces when the space of leaf closures is compact, of dimension less than or equal to 2. Dewey 510 25 Section de mathématiques 11 false c69d576e-b206-46ba-bbff-ec331c16f979 Thesis Public AOU_Salem_thèse.pdf 5257821 application/pdf Restricted 2087-07-16 c0025401625b30d226b3ad045664ecfa225e0d5d89515c820e95073c893384ae 6a4e6a05-7d58-4243-9688-acc53b40180c Imprimatur Public AOU_Salem_imprimatur.pdf 313062 application/pdf 612e2380848af29bad032bc4f1caa6ab7f69d609c2711c3d998b0a2758157e98 embargoedAccess Faculté des sciences / Section de mathématiques

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Feuilletages riemanniens et pseudogroupes d’isométries				1987	9	0

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Salem, Eliane