대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제35권3호
  • /
  • Pages.935-951
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  • 2020
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  • 1225-1763(pISSN)
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  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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ON SOME CLASSES OF WEAKLY Z-SYMMETRIC MANIFOLDS

  • 투고 : 2019.08.06
  • 심사 : 2019.12.17
  • 발행 : 2020.07.31
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초록

The aim of the paper is to study some geometric properties of weakly Z-symmetric manifolds. Weakly Z-symmetric manifolds with Codazzi type and cyclic parallel Z tensor are studied. We consider Einstein weakly Z-symmetric manifolds and conformally flat weakly Z-symmetric manifolds. Next, it is shown that a totally umbilical hypersurface of a conformally flat weakly Z-symmetric manifolds is of quasi constant curvature. Also, decomposable weakly Z-symmetric manifolds are studied and some examples are constructed to support the existence of such manifolds.

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참고문헌

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