• Title/Summary/Keyword: Almost quasi Ricci symmetric manifolds

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ON ALMOST QUASI RICCI SYMMETRIC MANIFOLDS

  • Kim, Jaeman
    • Communications of the Korean Mathematical Society
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    • v.35 no.2
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    • pp.603-611
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    • 2020
  • 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.

On Conformally at Almost Pseudo Ricci Symmetric Mani-folds

  • De, Uday Chand;Gazi, Abul Kalam
    • Kyungpook Mathematical Journal
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    • v.49 no.3
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    • pp.507-520
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    • 2009
  • The object of the present paper is to study conformally at almost pseudo Ricci symmetric manifolds. The existence of a conformally at almost pseudo Ricci symmetric manifold with non-zero and non-constant scalar curvature is shown by a non-trivial example. We also show the existence of an n-dimensional non-conformally at almost pseudo Ricci symmetric manifold with vanishing scalar curvature.