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

TL;DR

This paper introduces higher order mean curvatures for SAC half-lightlike submanifolds in indefinite contact manifolds, generalizing existing results and deriving new integral formulas with illustrative examples.

Contribution

It develops a new framework for higher order mean curvatures in the context of SAC half-lightlike submanifolds, extending prior work and providing new integral formulas.

Findings

Generalization of known results using higher order mean curvatures

Derivation of new divergence-based integral formulas

Examples illustrating the main concepts

Abstract

We introduce higher order mean curvatures of screen almost conformal (SAC) half-lightlike submanifolds of indefinite 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.