Results 71 to 80 of about 131 (102)

On Trans-Sasakian manifolds

On Trans-Sasakian manifolds
openaire  

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
exaly   +4 more sources

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
exaly   +2 more sources

Some of the next articles are maybe not open access.

Related searches:

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

Generalized Trans-Sasakian manifolds

Differential Geometry and its Applications, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Moulay Larbi Sinacer, Gherici Beldjilali, Benaoumeur Bayour, Habib Bouzir   +3 more
openaire   +2 more sources

A Note on Compact Trans-Sasakian Manifolds

Mediterranean Journal of Mathematics, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sharief Deshmukh, Falleh R Al-Solamy, Deshmukh Sharief   +2 more
exaly   +3 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

On Invariant Submanifolds of a Nearly Trans-Sasakian Manifold

Arabian Journal for Science and Engineering, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sari, R., Vanli, AYSEL
openaire   +3 more sources