Classification globale des formes différentielles transitives sur la sphère S⁵

Abstract

In this work we study the global models of a r-form ω, on the sphere S ⁵, which is transitive, i.e. we assume that for each p Є S ⁵ and each υ Є T _P S ⁵ there exists a vector field X on S ⁵ such that L _x ω = 0 and X( _p ) = υ. For volume forms (Moser theorem), closed 3-forms, non closed 2-forms and some non closed 3-forms, one explicitly obtains all their global models.

Projet de recherche DGICYT PB94-1485