Existence and uniqueness theorem for slant immersions in Sasakian-space-forms

Abstract

In this paper, we present the existence and uniqueness theorems for slant immersions into Sasakian-space-forms. By applying the first result, we prove several existence theorems for slant submanifolds. In particular, we prove the existence theorems for three-dimensional slant submanifolds with prescribed mean curvature or with prescribed scalar curvature.Plan Andaluz de Investigación (Junta de Andalucía