Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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ON ALMOST QUASI RICCI SYMMETRIC MANIFOLDS

  • Kim, Jaeman (Department of Mathematics Education Kangwon National University)
  • Received : 2019.03.04
  • Accepted : 2019.06.04
  • Published : 2020.04.30
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Abstract

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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References

  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