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Öğe Almost locally conformal Kaehler product manifolds(Walter de Gruyter GmbH, 2006) Sahin B.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. © 2006 Warsaw University. All rights reserved.Öğe Characterizations of twisted product manifolds to be warped product manifolds(2013) Kazan S.; Sahin B.In this paper, we give characterizations of a twisted product manifold to be a warped product manifold by imposing certain conditions on the Weyl conformal curvature tensor and the Weyl projective tensor. We also find similar results for multiply twisted product manifolds.Öğe Contact horizontally conformal submersions(Walter de Gruyter GmbH, 2009) Sahin B.Using the notion of horizontally conformai submersion, we generalize the contact metric submersions and obtain classification theorems for this submersion when the total manifold has some special almost contact structures. © 2009 Warsaw University.Öğe CR-warped product submanifolds of nearly kaehler manifolds(2008) Sahin B.; Günes R.In this paper, we study warped product CR-submanifolds of nearly Kaehler manifolds. We extend some results of B. Y. Chen [7] on warped product CR-submanifolds of Kaehler manifolds to warped product CR-submanifolds of nearly Kaehler manifolds. We also give an example for such submanifolds in six dimensional sphere. MSC 2000: 53C42, 53C40, 53C15. © 2008 Heldermann Verlag.Öğe Geodesic CR-lightlike submanifolds(2001) Sahin B.; Günes R.Geodesic (totally geodesic, D-geodesic, D?-geodesic and mixed geodesic) CR-lightlike submanifolds in indefinite Kaehler manifold are investigated. Some necessary and sufficient conditions on totally geodesic, D-geodesic, D?-geodesic and mixed geodesic CR-lightlike submanifolds are obtained. We find geometric properties of CR-lightlike submanifolds of an indefinite Kaehler manifold. © 2001 Heldermann Verlag.Öğe Lightlike real hypersurfaces of indefinite quaternion Kaehler manifolds(2002) Sahin B.; Günes R.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. © Birkhäuser Verlag, 2002.Öğe Lightlike submanifolds of indefinite quaternion kaehler manifolds(Walter de Gruyter GmbH, 2007) Sahin B.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. © 2007 Warsaw University. All rights reserved.