Basics of Lagrangian foliations
نویسندگان
چکیده
منابع مشابه
Rigidity of horospherical foliations
M . Ratner's theorem on the rigidity of horocycle flows is extended to the rigidity of horospherical foliations on bundles over finite-volume locally-symmetric spaces of non-positive sectional curvature, and to other foliations of the same algebraic form.
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Given a singular foliation satisfying locally everywhere the Frobenius condition, even at the singularities, we show how to construct its global sheaves of jets. Our construction is purely formal, and thus applicable in a variety of contexts.
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Isoparametric submanifolds and hypersurfaces in space forms are geometric objects that have been studied since É. Cartan. Another important class of geometric objects is the orbits of polar actions on a Riemannian manifold, e.g., the orbits of the adjoint action of a compact Lie group on itself. These two classes of submanifolds share some common properties. For example, they are leaves of sing...
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ژورنال
عنوان ژورنال: Publicacions Matemàtiques
سال: 1989
ISSN: 0214-1493
DOI: 10.5565/publmat_33389_14