Contact Screen Generic Lightlike Submanifolds of Indefinite Kenmotsu Manifold

Abstract

In this paper, we study contact screen generic lightlike (CSGL) submanifolds,
totally umbilical CSGL submanifolds and minimal CSGL submanifolds of indefinite Kenmotsu manifolds. We investigate the necessary and sufficient (n & s) conditions for the induced connection on a CSGL submanifold to be a metric connection, for integrability & parallelism of some associated distributions, and for some distributions to be totally geodesic foliations. We also discuss about non-parallel distributions and more than one n & s conditions for a CSGL submanifold to be mixed geodesic. We further study some properties satisfied by proper totally umbilical CSGL submanifolds and the n & s conditions for minimality of an associated distribution & also of a CSGL submanifold. At last, we construct an example of a CSGL submanifold of an indefinite Kenmotsu manifold.