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On submanifolds of Lxf F satisfying Chen's basic equality

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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.

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Authors and Affiliations

  1. Nippon Institute of Technology, Saitama, 345-8501, Japan

    S. Funabashi

  2. Department of Mathematics, Kyungpook National University, Taegu, 702-701, Korea

    Y.-M. Kim & J. S. Pak

Authors
  1. S. Funabashi
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  2. Y.-M. Kim
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  3. J. S. Pak
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Funabashi, S., Kim, YM. & Pak, J.S. On submanifolds of Lxf F satisfying Chen's basic equality. Acta Mathematica Hungarica 99, 189–201 (2003). https://doi.org/10.1023/A:1024519109616

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