Results 1 to 10 of about 1,514 (132)
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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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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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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CR-submanifolds of a nearly trans-Sasakian manifold [PDF]
International Journal of Mathematics and Mathematical Sciences, 2002 This paper considers the study of CR-submanifolds of a nearly trans-Sasakian manifold, generalizing the results of trans-Sasakian manifolds and thus those of Sasakian manifolds.
Falleh R. Al-Solamy
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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.
Sharief Deshmukh +3 more
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Three-dimensional trans-Sasakian manifolds and solitons [PDF]
Arab Journal of Mathematical Sciences, 2022 Purpose – The authors set the goal to find the solution of the Eisenhart problem within the framework of three-dimensional trans-Sasakian manifolds.
Sudhakar Kumar Chaubey, Uday Chand De
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A note on trans-Sasakian manifolds [PDF]
Mathematica Slovaca, 2013 Abstract In this paper, we obtain some sufficient conditions for a 3-dimensional compact trans-Sasakian manifold of type (α, β) to be homothetic to a Sasakian manifold. A characterization of a 3-dimensional cosymplectic manifold is also obtained.
Sharief Deshmukh
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On trans-Sasakian $3$-manifolds as $\eta$-Einstein solitons
Karpatsʹkì Matematičnì Publìkacìï, 2021 The present paper is to deliberate the class of $3$-dimensional trans-Sasakian manifolds which admits $\eta$-Einstein solitons. We have studied $\eta$-Einstein solitons on $3$-dimensional trans-Sasakian manifolds where the Ricci tensors are Codazzi type ...
D. Ganguly, S. Dey, A. Bhattacharyya
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Geometric inequalities for warped product bi-slant submanifolds with a warping function. [PDF]
J Inequal Appl, 2018 In this paper, we prove that the squared norm of the second fundamental form for bi-slant submanifolds with any codimension of nearly trans-Sasakian manifolds is bounded below by the gradient of a warping function and also find the conditions on which ...
Siddiqui AN, Shahid MH, Lee JW.
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ON GENERALIZED RICCI-RECURRENT TRANS-SASAKIAN MANIFOLDS [PDF]
Journal of the Korean Mathematical Society, 2002 A Riemannian manifold \((M,g)\) is called generalized Ricci-recurrent if there exist \(1\)-forms \(A\) and \(B\) such that its Ricci tensor satisfies \(\nabla_X \text{Ric}(Y,Z)= A(X) \text{Ric}(Y,Z)+B(X)g(Y,Z)\). The authors study generalized Ricci-recurrent manifolds which are in addition trans-Sasakian, and give a local classification of these in ...
Jeong-Sik Kim, Rajendra Prasad
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