Foliation by G-orbits

Abstract

We study the properties of the normal bundle defined by the bundle of the G-orbits of the action of a semisimple Lie group G on a pseudo Riemannian manifold M, as a consequence we obtain that the foliation induced by the normal bundle is integrable and totally geodesic.

Keywords

• semisimple Lie groups
• Foliations
• local freeness