Feuilletages de Killing
- Autores: Witold Mozgawa
- Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 36, Fasc. 3, 1985, págs. 285-290
- Idioma: francés
- Títulos paralelos:
- Foliaciones de Killing
- Killing foliations
- Enlaces
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Resumen
A Riemannian foliation with a trivial central transversal sheaf is called a Killing foliation. It is proved that if on a compact manifold with a Killing codimension $q$ foliation the maximal codimension of the closures of the leaves is $q-r$ then there exist $r$ transversal vector fields linearly independent at each point. If the span of a manifold is $k$ then the above result implies that each such foliation admits the closures of the leaves of codimension at least $q-k$, what generalizes theorem 3.5 in [2].
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