A Note on Nearly Sasakian Manifolds [PDF]
Mathematics, 2023 A class of nearly Sasakian manifolds is considered in this paper. We discuss the geometric effects of some symmetries on such manifolds and show, under a certain condition, that the class of Ricci semi-symmetric nearly Sasakian manifolds is a subclass of
Fortuné Massamba, Arthur Nzunogera
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Some Curvature Properties on Lorentzian Generalized Sasakian-Space-Forms [PDF]
Advances in Mathematical Physics, 2019 In this paper, we investigate the Lorentzian generalized Sasakian-space-form. We give the necessary and sufficient conditions for the Lorentzian generalized Sasakian-space-form to be projectively flat, conformally flat, conharmonically flat, and Ricci ...
Rongsheng Ma, Donghe Pei
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Generalized Sasakian-Space-Forms with Projective Curvature Tensor [PDF]
Demonstratio Mathematica, 2014 The object of the present paper is to study Ф-projectively flat generalized Sasakian-space-forms, projectively locally symmetric generalized Sasakian-space-forms and projectively locally Ф-symmetric generalized Sasakian-space-forms.
Sarkar A., Akbar Ali
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On the Almost $\eta-$Ricci Solitons on Pseudosymmetric Lorentz Generalized Sasakian Space Forms [PDF]
Universal Journal of Mathematics and Applications, 2023 In this paper, we consider Lorentz generalized Sasakian space forms admitting almost $\eta-$Ricci solitons in some curvature tensors. Ricci pseudosymmetry concepts of \ Lorentz generalized Sasakian space forms admitting $\eta-$Ricci soliton have ...
Mehmet Atçeken, Tuğba Mert
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On invariant submanifolds of Lorentz Sasakian space forms [PDF]
, 2023 Summary: In this article, invariant submanifolds of Lorentz-Sasakian space forms on the \(W_7\)-curvature tensor are investigated. For the \(W_7\)-curvature tensor, the pseudoparallel, 2-pseudoparallel, Ricci generalized pesudoparallel and 2-Ricci generalized pseudoparallel properties of the invariant submanifolds of the Lorentz-Sasakian space form are
Mert, Tuğba +2 more
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Bi-$f$-Harmonic Legendre Curves on $(\alpha,\beta)$-Trans-Sasakian Generalized Sasakian Space Forms [PDF]
Journal of New TheoryIn this study, we consider bi-$f$-harmonic Legendre curves on $(\alpha,\beta)$-trans-Sasakian generalized Sasakian space form. We provide the necessary and sufficient conditions for a Legendre curve to be bi-$f$-harmonic on $(\alpha,\beta)$-trans ...
Feyza Esra Erdoğan +2 more
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Characterizations of the Total Space (Indefinite Trans-Sasakian Manifolds) Admitting a Semi-Symmetric Metric Connection [PDF]
Axioms, 2018 We investigate recurrent, Lie-recurrent, and Hopf lightlike hypersurfaces of an indefinite trans-Sasakian manifold with a semi-symmetric metric connection. In these hypersurfaces, we obtain several new results.
Dae Ho Jin, Jae Won Lee
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Invariant Submanifolds of Sasakian Generalized-Sasakian-Space-Forms [PDF]
, 2019 11 ...
Prakasha, D. G. +3 more
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On the Geometry of the Riemannian Curvature Tensor of Nearly Trans-Sasakian Manifolds [PDF]
Axioms, 2023 This paper presents the results of fundamental research into the geometry of the Riemannian curvature tensor of nearly trans-Sasakian manifolds. The components of the Riemannian curvature tensor on the space of the associated G-structure are counted, and
Aligadzhi R. Rustanov
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On Differential Equations Characterizing Legendrian Submanifolds of Sasakian Space Forms [PDF]
Mathematics, 2020 In this paper, we give an estimate of the first eigenvalue of the Laplace operator on minimally immersed Legendrian submanifold N n in Sasakian space forms N ˜ 2 n + 1 ( ϵ ) . We prove that a minimal Legendrian submanifolds in
Rifaqat Ali +4 more
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