대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제25권4호
  • /
  • Pages.615-621
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  • 2010
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  • 1225-1763(pISSN)
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  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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PSEUDO SYMMETRIC AND PSEUDO RICCI SYMMETRIC WARPED PRODUCT MANIFOLDS

  • 투고 : 2009.10.16
  • 발행 : 2010.10.31
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초록

We study pseudo symmetric (briefly $(PS)_n$) and pseudo Ricci symmetric (briefly $(PRS)_n$) warped product manifolds $M{\times}_FN$. If M is $(PS)_n$, then we give a condition on the warping function that M is a pseudosymmetric space and N is a space of constant curvature. If M is $(PRS)_n$, then we show that (i) N is Ricci symmetric and (ii) M is $(PRS)_n$ if and only if the tensor T defined by (2.6) satisfies a certain condition.

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참고문헌

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피인용 문헌

  1. On φ-pseudo Symmetries of (LCS)n-Manifolds vol.53, pp.2, 2013, https://doi.org/10.5666/KMJ.2013.53.2.285
  2. Einstein-like warped product manifolds 2017, https://doi.org/10.1142/S0219887817501663