Generalized Cauchy-Riemann lightlike submanifolds of Kaehler manifolds (Q858091)

This paper introduces and studies a class of lightlike submanifolds in indefinite Kähler manifolds. This class, called generalized Cauchy--Riemann (GCR) submanifolds, contains Cauchy--Riemann and so called Screen Cauchy--Riemann submanifolds. In an introductory section, the authors recall some facts on lightlike submanifolds in pseudo--Riemannian manifolds. Next, they introduce the class of GCR--lightlike submanifolds in indefinite Kähler manifolds and study its relation to other classes of lightlike submanifolds. They prove some results on GCR--lightlike submanifolds which in addition are totally umbilical or minimal.