대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제27권2호
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  • Pages.317-326
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  • 2012
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  • 1225-1763(pISSN)
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  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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ON CONFORMAL AND QUASI-CONFORMAL CURVATURE TENSORS OF AN N(κ)-QUASI EINSTEIN MANIFOLD

  • 투고 : 2010.11.20
  • 발행 : 2012.04.30
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초록

We consider $N(k)$-quasi Einstein manifolds satisfying the conditions $C({\xi},\;X).S=0$, $\tilde{C}({\xi},\;X).S=0$, $\bar{P}({\xi},\;X).C=0$, $P({\xi},\;X).\tilde{C}=0$ and $\bar{P}({\xi},\;X).\tilde{C}=0$ where $C$, $\tilde{C}$, $P$ and $\bar{P}$ denote the conformal curvature tensor, the quasi-conformal curvature tensor, the projective curvature tensor and the pseudo projective curvature tensor, respectively.

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참고문헌

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피인용 문헌

  1. On Some Classes of N(k)-Quasi Einstein Manifolds vol.83, pp.3, 2013, https://doi.org/10.1007/s40010-013-0071-y
  2. 𝒵 Tensor on N(k)-Quasi-Einstein Manifolds vol.56, pp.3, 2016, https://doi.org/10.5666/KMJ.2016.56.3.979
  3. Certain results on N(k)-quasi Einstein manifolds pp.2190-7668, 2019, https://doi.org/10.1007/s13370-018-0631-z
  4. Certain Investigations on Pseudo Quasi-Einstein Manifolds vol.88, pp.2, 2018, https://doi.org/10.1007/s40010-017-0422-1