On submanifolds of Lxf
F satisfying Chen's basic equality |
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Authors: | S Funabashi Y-M Kim J S Pak |
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Institution: | (1) Nippon Institute of Technology, Saitama 345-8501, Japan;(2) Department of Mathematics, Kyungpook National University, Taegu, 702-701, Korea |
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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. |
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Keywords: | Kenmotsu manifold tubular hypersurface Chen's basic equality |
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