On Some Classes of Invariant Submanifolds of \((k,\mu)\)-Contact Manifolds

Abstract

In this paper, we study invariant submanifolds of \((k,\mu)\)-contact manifolds. We consider pseudoparallel, 2-pseudoparallel, Ricci-generalized pseudoparallel, 2-Ricci-generalized pseudoparallel submanifolds of \((k,\mu)\)-contact manifolds. Further, we search for the conditions \(\mathcal{Z}(X,Y)\cdot\sigma = 0\) and \(\mathcal{Z}(X,Y )\cdot\bar{\nabla}\sigma =0\) on invariant submanifolds of \((k,\mu)\)-contact manifolds, where $\mathcal{Z}$ is the concircular curvature tensor.