대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제35권2호
  • /
  • Pages.603-611
  • /
  • 2020
  • /
  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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ON ALMOST QUASI RICCI SYMMETRIC MANIFOLDS

  • Kim, Jaeman (Department of Mathematics Education Kangwon National University)
  • 투고 : 2019.03.04
  • 심사 : 2019.06.04
  • 발행 : 2020.04.30
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초록

The purpose of this note is to introduce a type of Riemannian manifold called an almost quasi Ricci symmetric manifold and investigate the several properties of such a manifold on which some geometric conditions are imposed. And the existence of such a manifold is ensured by a proper example.

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참고문헌

  1. A. L. Besse, Einstein Manifolds, Springer, Berlin, 1987.
  2. J. Kim, On quasi Ricci symmetric manifolds, to appear in Korean J. Math.
  3. C. A. Mantica and L. G. Molinari, Weakly Z-symmetric manifolds, Acta Math. Hungar. 135 (2012), no. 1-2, 80-96. https://doi.org/10.1007/s10474-011-0166-3