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51.
Warped product manifolds are known to have applications in physics. For instance, they provide an excellent setting to model space-time near a black hole or a massive star (cf. [9]). The studies on warped product manifolds with extrinsic geometric point of view were intensified after the B.Y. Chen's work on CR-warped product submanifolds of Kaehler manifolds (cf. [6], [7]). Later on, similar studies were carried out in the setting of 1.c.K. manifolds and nearly Kaehler manifolds (el. [3], [11]). In the present article, we investigate a larger class of warped product submanifolds of 1.c.K. manifolds, ensure their existence by constructing an example of such manifolds and obtain some important properties of these submanifolds. With regard to the CR-warped product submanifold, a special case of generic warped product submanifolds, we obtain a characterization under which a CR-submanifold is reducesd to a CR-warped product submanifold. 相似文献
52.
In this paper, we introduce real lightlike hypersurfaces of indefinite
quaternion Kaehler manifold. Fundamental properties of real lightlike
hypersurfaces of an indefinite quaternion Kaehler manifold are
investigated. We prove the non existence of real lightlike hypersurfaces
in indefinite qaternionic space form under some conditions.
Received 31 October 2000; revised 20 June 2001. 相似文献
53.
First of all,using the relations (2.3),(2.4),and (2.5),we define a complex Clifford algebra Wn and the Witt basis.Secondly,we utilize the Witt basis to define the operators (6) and (6^) on Kaehler mani... 相似文献