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On almost quasi Ricci symmetric manifolds

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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.

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.

참고문헌 (3)

  1. A. L. Besse, "Einstein Manifolds" (1987), Springer
  2. 김재만, "On quasi Ricci symmetric manifolds", 한국수학논문집, 27(1), pp.9~15 (2019), 강원경기수학회
  3. C. A. Mantica, "Weakly Z-symmetric manifolds", Acta Math. Hungar, 135(1-2), pp.80~96 (2012)[DOI]

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