Higher order mean curvatures of SAC half-lightlike submanifolds of indefinite almost contact manifolds

Abstract

We introduce higher order mean curvatures of screen almost conformal (SAC) half-lightlike submanifolds of indefinite almost contact manifolds, admitting a semi-symmetric non-metric connection, and use them to generalize some known results of [6]. Also, we derive a new set of integration formulae via the divergence of some special vector fields tangent to this submanifold. Several examples are also included to illustrate the main concepts.2010 Mathematics Subject Classification. Primary 53C25; Secondary 53C40, 53C50.