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On submanifolds of Lxf F satisfying Chen's basic equality
Authors:S Funabashi  Y-M Kim  J S Pak
Institution:(1) Nippon Institute of Technology, Saitama 345-8501, Japan;(2) Department of Mathematics, Kyungpook National University, Taegu, 702-701, Korea
Abstract:It is well known that the warped product Lxf F of a line L and a Kaehler manifold F is an almost contact Riemannian manifold which is characterized by some tensor equations appeared in (1.7) and (1.8). In this paper we determine submanifolds of Lxf F which are tangent to the structure vector field and satisfy Chen's basic equality. Also, we investigate tubular hypersurfaces of Lxf CE m which satisfy Chen's basic equality where CE m is a complex Euclidean m-space. This revised version was published online in June 2006 with corrections to the Cover Date.
Keywords:Kenmotsu manifold  tubular hypersurface  Chen's basic equality
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