A Frobenius theorem for Cartan geometries, with applications
نویسندگان
چکیده
منابع مشابه
A Frobenius theorem for Cartan geometries, with applications
The classical result on local orbits in geometric manifolds is Singer’s homogeneity theorem for Riemannian manifolds [1]: given a Riemannian manifold M , there exists k, depending on dimM , such that if every x, y ∈ M are related by an infinitesimal isometry of order k, thenM is locally homogeneous. An open subset U ⊆ M of a geometric manifold is locally homogeneous if for every x, x ∈ U , ther...
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ژورنال
عنوان ژورنال: L’Enseignement Mathématique
سال: 2011
ISSN: 0013-8584
DOI: 10.4171/lem/57-1-3