Screen generic lightlike submanifolds of indefinite cosymplectic manifolds

Abstract

We introduce screen generic lightlike submanifolds of indefinite cosymplectic manifolds. We investigate the integrability of various distributions and prove a characterization theorem of such lightlike submanifolds in a cosymplectic space form. We study contact totally umbilical screen generic lightlike submanifolds. Finally, we find conditions for minimal screen generic lightlike submanifolds. We also give examples.