Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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SHAPE OPERATOR OF SLANT SUBMANIFOLDS IN SASAKIAN SPACE FORMS

  • Kim, Young-Ho (Department Of Mathematics, Kyungpook National University) ;
  • Lee, Chul-Woo (Department Of Mathematics, Kyungpook National University) ;
  • Yoon, Dae-Won (Department Of Mathematics, Kyungpook National University)
  • Published : 2003.02.01
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Abstract

In this article, we establish relations between the sectional curvature and the shape operator and also between the k-Ricci curvature and the shape operator for a slant submanifold in a Sasakian space form of constant $\varphi-sectional$ curvature with arbitrary codimension.

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References

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  7. Bull. Yamagata Univ. Natur. Sci. v.14 Shape operator for slant submanifolds in complex space forms K .Matsumoto;I. Mihai;A. Oiaga

Cited by

  1. SOME INEQUALITIES ON TOTALLY REAL SUBMANIFOLDS IN LOCALLY CONFORMAL KAEHLER SPACE FORMS vol.41, pp.5, 2004, https://doi.org/10.4134/JKMS.2004.41.5.795
  2. Chen-like inequalities on lightlike hypersurfaces of a Lorentzian manifold vol.2013, pp.1, 2013, https://doi.org/10.1186/1029-242X-2013-266