Results 71 to 80 of about 125 (105)

Trans-Sasakian Manifolds Homothetic to Sasakian Manifolds

Mediterranean Journal of Mathematics, 2015
Let \((M,\varphi,\xi,\eta,g,\alpha,\beta)\) be a 3-dimensional compact simply connected trans-Sasakian manifold. It is proved that such a manifold is homothetic to a Sasakian manifold if and only if the functions \(\alpha\) and \(\beta\) satisfy one of the following Poisson equations: 1) \(\Delta\alpha= \beta\); 2) \(\Delta\alpha= \alpha^2\beta\); 3) \(
Sharief Deshmukh, Deshmukh Sharief
exaly   +3 more sources

A Note on Compact Trans-Sasakian Manifolds

Mediterranean Journal of Mathematics, 2015
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Sharief Deshmukh, Falleh R Al-Solamy, Deshmukh Sharief   +2 more
exaly   +3 more sources

On Invariant Submanifolds of a Nearly Trans-Sasakian Manifold

Arabian Journal for Science and Engineering, 2011
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Sari, R., Vanli, AYSEL
exaly   +4 more sources

Weakly Einstein Trans-Sasakian $$3$$-Manifolds

Mathematical Notes
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exaly   +3 more sources

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
openaire   +2 more sources

Nullity Condition on Trans-Sasakian 3-Manifolds

Proceedings of the Bulgarian Academy of Sciences, 2022
In this paper, we are concerned with the κ-nullity condition on trans-Sasakian manifolds of dimension three. Such manifolds are classified under an additional assumption that the scalar curvature is invariant along the Reeb flow or a topology restriction.
openaire   +2 more sources

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.
openaire   +1 more source

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
openaire   +1 more source

Generic submanifolds of a trans-Sasakian manifold

Publicationes Mathematicae Debrecen, 1995
Let \(\overline M(\varphi, \xi, \eta, g)\) be a \((2+ 1)\)-dimensional trans-Sasakian manifold [see \textit{J. A. Oubina}, Publ. Math. 32, 187-193 (1985; Zbl 0611.53032)]. A submanifold \(M\) of \(M\) is said to be generic if the dimension of the subspaces \({\mathcal D}_x= T_x M\cap \varphi T_x M\), \(x\in M\), is constant along \(M\); thus ...
Shahid, M. Hasan, Mihai, Ion
openaire   +1 more source

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
openaire   +2 more sources