Abstract
We have studied mixed foliate CR‐lightlike submanifolds and CR‐lightlike product of an indefinite Kaehler manifold and also obtained relationship between them. Mixed foliate CR‐lightlike submanifold of indefinite complex space form has also been discussed and showed that the indefinite Kaehler manifold becomes the complex semi‐Euclidean space.
Highlights
We have studied mixed foliate CR-lightlike submanifolds and CR-lightlike product of an indefinite Kaehler manifold and obtained relationship between them
The geometry of CR-submanifolds of Kaehler manifolds was initiated by Bejancu 1 and has been developed by 2–5 and others
They studied the geometry of CR-submanifolds with positive definite metric
Summary
The geometry of CR-submanifolds of Kaehler manifolds was initiated by Bejancu 1 and has been developed by 2–5 and others. They studied the geometry of CR-submanifolds with positive definite metric. This geometry may not be applicable to the other branches of mathematics and physics, where the metric is not necessarily definite. The objective of this paper is to study CR-lightlike submanifolds of an indefinite Kaehler manifold. This motivated us to study CR-lightlike submanifolds extensively
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