Resumen de Feuilletages de Killing

Witold Mozgawa

• 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].