대한수학회지 (Journal of the Korean Mathematical Society)

  • 제39권6호
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  • Pages.953-961
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  • 2002
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  • 0304-9914(pISSN)
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  • 2234-3008(eISSN)
대한수학회 (Korean Mathematical Society)
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ON GENERALIZED RICCI-RECURRENT TRANS-SASAKIAN MANIFOLDS

  • 발행 : 2002.11.01
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초록

Generalized Ricci-recurrent trans-Sasakian manifolds are studied. Among others, it is proved that a generalized Ricci-recurrent cosymplectic manifold is always recurrent Generalized Ricci-recurrent trans-Sasakian manifolds of dimension $\geq$ 5 are locally classified. It is also proved that if M is one of Sasakian, $\alpha$-Sasakian, Kenmotsu or $\beta$-Kenmotsu manifolds, which is gener-alized Ricci-recurrent with cyclic Ricci tensor and non-zero A (ξ) everywhere; then M is an Einstein manifold.

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참고문헌

  1. Lecture Notes in Mathematics v.509 Contact manifolds in Riemannian geometry D. E. Blair
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피인용 문헌

  1. ON A CLASS OF THREE-DIMENSIONAL TRANS-SASAKIAN MANIFOLDS vol.27, pp.4, 2012, https://doi.org/10.4134/CKMS.2012.27.4.795
  2. A Class of Lorentzian α-Sasakian Manifolds vol.49, pp.4, 2009, https://doi.org/10.5666/KMJ.2009.49.4.789
  3. Harmonic Almost Contact Structures vol.123, pp.1, 2007, https://doi.org/10.1007/s10711-006-9112-x
  4. Trans-Sasakian Manifolds Homothetic to Sasakian Manifolds vol.13, pp.5, 2016, https://doi.org/10.1007/s00009-015-0666-4
  5. A note on trans-Sasakian manifolds vol.63, pp.6, 2013, https://doi.org/10.2478/s12175-013-0176-4