Results 121 to 130 of about 1,722 (148)

A Note on Compact Trans-Sasakian Manifolds

Mediterranean Journal of Mathematics, 2015
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Deshmukh, Sharief, Al-Solamy, Falleh
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Einstein-Weyl structures on trans-Sasakian manifolds

Mathematica Slovaca, 2019
AbstractIn this article we study Einstein-Weyl structures on a 3-dimensional trans-Sasakian manifoldMof type (α,β). First, we prove that a 3-dimensional trans-Sasakian manifold admitting both Einstein-Weyl structuresW±= (g, ±θ) is Einstein, or is homothetic to a Sasakian manifold ifα≠ 0.
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Generalized Trans-Sasakian manifolds

Differential Geometry and its Applications, 2023
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Moulay Larbi Sinacer, Gherici Beldjilali, Benaoumeur Bayour, Habib Bouzir   +3 more
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Trans-Sasakian manifolds homothetic to Sasakian manifolds

Publicationes Mathematicae Debrecen, 2016
Let \((M,g,\eta,\varphi,\xi)\) be a \((2n+1)\)-dimensional almost contact metric manifold, where \(g\) is a Riemannian metric, \(\eta\) is a smooth 1-form, \(\xi\) is the Reeb vector field and \(\varphi\) is \((1, 1)\)-tensor field. If there are smooth functions \((\alpha,\beta)\) satisfying \((\nabla \varphi)(X,Y) =\alpha\, (g(X,Y)\xi - \eta(Y)X ...
Desmukh, Sharief, De, Uday Chand, Al-Solamy, Falleh   +2 more
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Invariant submanifolds of a trans-Sasakian manifold

Publicationes Mathematicae Debrecen, 2022
An n-dimensional Riemannian manifold M with almost contact metric structure (\(\phi\),\(\xi\),\(\eta\),g) and fundamental 2-form \(\Phi\) is called trans-Sasakian, if \[ (\nabla_ X\Phi)(Y,Z)=(1/2n)[g(x,Y)\eta (Z)- g(X,Z)\eta (Y))\delta \Phi (\xi)+(g(X,\phi Y)\eta (Z)-g(X,\phi Z)\eta (Y))\delta \eta] \] for all vector fields X, Y, Z on M, where \(\delta\
Chinea, D., Perestelo, P. S.
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Semi-slant Submanifolds of Trans-Sasakian Manifolds

Sarajevo Journal of Mathematics
The purpose of the present paper is to study semi-slant submanifolds of a trans-Sasakian manifold.   2000 Mathematics Subject Classification.
Khan, Viqar Azam, Khan, Meraj Ali
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On weakly symmetric generalized trans-sasakian manifold

Commentationes Mathematicae, 2015
In this paper, we have defined the weakly symmetric generalized Trans-Sasakian manifold \(G(WS)_n\) and it has been shown that on such manifold if any two of the vector fields \(\lambda,\gamma,\tau\), defined by equation (0.3) are orthogonal to \(\xi\), then the third will also be orthogonal to \(\xi\). We have also proved that the scalar curvature \(r\
Levejoy S. Das, Ram Nivas, Rupali Agnihotri   +2 more
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Some curvature properties of trans-Sasakian manifolds

Lobachevskii Journal of Mathematics, 2014
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Akbar, Ali, Sarkar, Avijit
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Weakly Einstein Trans-Sasakian $$3$$-Manifolds

Mathematical Notes
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Integrability of nearly trans-Sasakian manifolds

Journal of Geometry and Physics
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Aligadzhi Rabadanovich Rustanov, Svetlana Vladimirovna Kharitonova   +1 more
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