• Title/Summary/Keyword: $\varsigma$-parallel Ricci tensor

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REAL HYPERSURFACES WITH ξ-PARALLEL RICCI TENSOR IN A COMPLEX SPACE FORM

  • Ahn, Seong-Soo;Han, Seung-Gook;Kim, Nam-Gil;Lee, Seong-Baek
    • Communications of the Korean Mathematical Society
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    • v.13 no.4
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    • pp.825-838
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    • 1998
  • We prove that if a real hypersurface with constant mean curvature of a complex space form satisfying ▽$_{ξ/}$S = 0 and Sξ = $\sigma$ξ for a smooth function $\sigma$, then the structure vector field ξ is principal, where S denotes the Ricci tensor of the hypersurface.

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