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Lightlike submanifolds of indefinite quartenion Kaehler manifolds

Sahin B.

Demonstratio Mathematica

2007

Vol. 40, nr 3

701-720

We define and study both screen QR-lightlike and screen CR-lightlike submanifolds of an indefinite quaternion Kaehler manifold. We show that screen QR-lightlike submanifolds include quaternion submanifolds and screen CR-lightlike submanifolds include quaternion as well as screen real lightlike submanifolds. We also give some examples of screen QR-lightlike and screen CR-lightlike submanifolds.

Almost locally conformal Kaehler product manifolds

Sahin B.

Demonstratio Mathematica

2006

Vol. 39, nr 1

211-218

It is known that the product of two locally conformal Kaehler manifolds is not a locally conformal Kaehler manifold, ([1], P:46 ). In this paper we introduce an almost locally conformal Kaehler product manifold and show that the product of two locally conformal Kaehler manifolds is an almost locally conformal Kaehler manifold. Moreover, we investigate properties of curvature tensors of an almost locally conformal Kaehler Product manifold.