Abstract

CALIN, Constantin. On totally contact umbilical submanifolds of a manifold with a sasakian 3-structureSobre subvariedades con contacto umbilical completo de una variedad con una estructura-3 sasakian. Rev. Téc. Ing. Univ. Zulia [online]. 2004, vol.27, n.3, pp.168-172. ISSN 0254-0770.

In our paper [5] we proved that any totally contact umbilical submanifold M of a manifold with a Sasakian 3-structure with dim > 1, "xÎM , is totally contact geodesic. In the present paper we solve the remaining cases. Namely, when dim =0, or dim =1, M is totally contact geodesic or an intrinsic sphere respectively.

Keywords : Sasakian-3 structure; totally contact umbilical; totally contact geodesic; extrinsic sphere.