Resumen de Foliations on quaternion CR-submanifolds

Stere Ianus, Mihai Ionescu, Gabriel Eduard Vîlcu

• The purpose of this paper is to study the canonical foliations of a quaternion CR-submanifold of a quaternion Kähler manifold. Necessary and sufficient conditions are provided for these foliations to become totally geodesic and Riemannian, respectively. A characterization of QR-products in quaternion space forms is also given.