• Title/Summary/Keyword: almost pseudo symmetric manifolds

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On Almost Pseudo Conharmonically Symmetric Manifolds

  • Pal, Prajjwal
    • Kyungpook Mathematical Journal
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    • v.54 no.4
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    • pp.699-714
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    • 2014
  • The object of the present paper is to study almost pseudo conharmonically symmetric manifolds. Some geometric properties of almost pseudo conharmonically symmetric manifolds have been studied under certain curvature conditions. Finally, we give three examples of almost pseudo conharmonically symmetric manifolds.

Note on Almost Generalized Pseudo-Ricci Symmetric Manifolds

  • Baishya, Kanak Kanti
    • Kyungpook Mathematical Journal
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    • v.57 no.3
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    • pp.517-523
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    • 2017
  • The purpose of the present paper is to study an almost generalized pseudo-Ricci symmetric manifold. The existence of such manifold is ensured by an example. Furthermore, having found, faulty example in [13], the present paper also attempts to construct a non-trivial example of an almost pseudo Ricci symmetric manifold.

ON A TYPE OF GENERALIZED SYMMETRIC MANIFOLDS

  • Kumar, Rajesh
    • Communications of the Korean Mathematical Society
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    • v.34 no.3
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    • pp.921-934
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    • 2019
  • The object of the present paper is to study generalized pseudo-projectively symmetric manifolds and Einstein generalized pseudo-projectively symmetric manifolds. Finally, the existence of generalized pseudo-projectively symmetric manifolds have been proved by two non-trivial examples.

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.

INVARIANT SUBMANIFOLDS OF (LCS)n-MANIFOLDS ADMITTING CERTAIN CONDITIONS

  • Eyasmin, Sabina;Baishya, Kanak Kanti
    • Honam Mathematical Journal
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    • v.42 no.4
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    • pp.829-841
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    • 2020
  • The object of the present paper is to study the invariant submanifolds of (LCS)n-manifolds. We study generalized quasi-conformally semi-parallel and 2-semiparallel invariant submanifolds of (LCS)n-manifolds and showed their existence by a non-trivial example. Among other it is shown that an invariant submanifold of a (LCS)n-manifold is totally geodesic if the second fundamental form is any one of (i) symmetric, (ii) recurrent, (iii) pseudo symmetric, (iv) almost pseudo symmetric and (v) weakly pseudo symmetric.

SOLITONS OF KÄHLERIAN NORDEN SPACE-TIME MANIFOLDS

  • Mundalamane, Praveena Manjappa;Shanthappa, Bagewadi Channabasappa;Siddesha, Mallannara Siddalingappa
    • Communications of the Korean Mathematical Society
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    • v.37 no.3
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    • pp.813-824
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    • 2022
  • We study solitons of Kählerian Norden space-time manifolds and Bochner curvature tensor in almost pseudo symmetric Kählerian space-time manifolds. It is shown that the steady, expanding or shrinking solitons depend on different relations of energy density/isotropic pressure, the cosmological constant, and gravitational constant.