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ON THE RICCI CURVATURE OF SUBMANIFOLDS IN THE WARPED PRODUCT L × f F

  • Kim, Young-Mi (Department of Mathematics Kyungpook National University Taegu 702-701) ;
  • Pak, Jin-Suk (Department of Mathematics Kyungpook National University Taegu 702-701)
  • Published : 2002.09.01

Abstract

The warped product L$\times$$_{f}$ F of a line L and a Kaehler manifold F is a typical example of Kenmotsu manifold. In this paper we determine submanifolds of L$\times$$_{f}$ F which are tangent to the structure vector field and satisfy certain conditions concerning with Ricci curvature and mean curvature.ure.

Keywords

Kenmotsu manifold;totally real submanifold;Ricci curvature

References

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Cited by

  1. ON CONTACT SLANT SUB MANIFOLD OF L ×fF vol.19, pp.1, 2004, https://doi.org/10.4134/CKMS.2004.19.1.129