Results 1 to 10 of about 216 (94)
Some Conditions on Trans-Sasakian Manifolds to Be Homothetic to Sasakian Manifolds
Mathematics, 2021 In this paper, we study 3-dimensional compact and connected trans-Sasakian manifolds and find necessary and sufficient conditions under which these manifolds are homothetic to Sasakian manifolds.
Olga Belova +2 more
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On Lightlike Geometry of Para-Sasakian Manifolds [PDF]
The Scientific World Journal, 2014 We study lightlike hypersurfaces of para-Sasakian manifolds tangent to the characteristic vector field. In particular, we define invariant lightlike hypersurfaces and screen semi-invariant lightlike hypersurfaces, respectively, and give examples ...
Bilal Eftal Acet +2 more
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Lifts of a Semi-Symmetric Metric Connection from Sasakian Statistical Manifolds to Tangent Bundle
MathematicsThe lifts of Sasakian statistical manifolds associated with a semi-symmetric metric connection in the tangent bundle are characterized in the current research.
Rajesh Kumar +2 more
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Clairaut anti-invariant submersions from Lorentzian trans-Sasakian manifolds [PDF]
Arab Journal of Mathematical SciencesPurpose – The central idea of this research article is to examine the characteristics of Clairaut submersions from Lorentzian trans-Sasakian manifolds of type (α, β) and also, to enhance this geometrical analysis with some specific cases, namely Clairaut
Mohd Siddiqi +2 more
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Generalized Z-Solitons on LP-Sasakian Manifolds With the General Connection
Journal of MathematicsThis work focuses on LP-Sasakian manifolds endowed with generalized Z-solitons constructed with respect to an arbitrary affine connection. To conclude, we provide an explicit and nontrivial example in the four-dimensional case, thereby establishing the ...
Shahroud Azami, Mehdi Jafari
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On pseudo-projective curvature tensor of sasakian manifold admitting zamkovoy connection [PDF]
Journal of Hyperstructures, 2021 The purpose of the present paper is to study some properties of Sasakian manifolds with respect to Zamkovoy connection. Here, we study pseudo-projectively flat, quasi-pseudoprojectively flat and φ-pseudo-projectively flat Sasakian manifolds admitting ...
Abhijit Mandal, Ashoke Das
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Geometry of Harmonic Nearly Trans-Sasakian Manifolds
Axioms, 2023 This paper considers a class of nearly trans-Sasakian manifolds. The local structure of nearly trans-Sasakian structures with a closed contact form and a closed Lee form is obtained.
Aligadzhi R. Rustanov
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On Compact Trans-Sasakian Manifolds
Advances in Mathematical Physics, 2022 We study 3-dimensional compact and simply connected trans-Sasakian manifolds and find necessary and sufficient conditions under which these manifolds are homothetic to Sasakian manifolds.
Ibrahim Al-Dayel, Sharief Deshmukh
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On an (ε,δ)-trans-Sasakian structure; pp. 20–28 [PDF]
Proceedings of the Estonian Academy of Sciences, 2012 In this paper we investigate (ε,δ)-trans-Sasakian manifolds which generalize the notion of (ε)-Sasakian and (ε)-Kenmotsu manifolds. We prove the existence of such a structure by an example and we consider Ï-recurrent, pseudo-projectively flat and ...
Halammanavar G. Nagaraja +2 more
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Some New Results on Trans-Sasakian Manifolds
Journal of Mathematics, 2022 In this paper, we classify trans-Sasakian manifolds which are realized as real hypersurfaces in a complex space form. We also investigate trans-Sasakian manifolds whose Reeb vector fields are harmonic-Killing.
Lei Wang, Yan Zhao
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