Communications of the
Korean Mathematical Society CKMS

In this paper, we study locally symmetric half lightlike submanifolds $M$ of an indefinite Kenmotsu manifold $\bar{M}$ subject to the conditions: (1) The transversal vector bundle $tr(TM)$ is parallel with respect to the connection $\bar{\nabla}$ of $\bar{M}$ and (2) $M$ is irrotational.

Keywords: locally symmetric, irrotational, half lightlike submanifolds, indefinite Kenmotsu manifold

MSC numbers: Primary 53C25, 53C40, 53C50