Results 81 to 90 of about 125 (105)

Integrability of nearly trans-Sasakian manifolds

Journal of Geometry and Physics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Aligadzhi Rabadanovich Rustanov, Svetlana Vladimirovna Kharitonova   +1 more
openaire   +1 more source

Generalized Ricci solitons on trans-Sasakian manifolds

2018
Summary: The object of the present research is to shows that a trans-Sasakian manifold, which also satisfies the Ricci soliton and generalized Ricci soliton equation, satisfying some conditions, is necessarily the Einstein manifold.
openaire   +1 more source

The local structure of trans-Sasakian manifolds

Annali di Matematica Pura ed Applicata, 1992
A trans-Sasakian structure is, in some sense, an analogue of a locally conformal Kähler structure on an almost Hermitian manifold. Two remarkable subclasses of trans-Sasakian structures are those called \({\mathcal C}_ 5\)- and \({\mathcal C}_ 6\)-structures, which contain the Kenmotsu and Sasakian structures respectively.
openaire   +1 more source

GENERIC LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE TRANS-SASAKIAN MANIFOLD

JP Journal of Geometry and Topology, 2017
A light-like submanifold \(M\) of an indefinite almost contact manifold \(\overline M\) is called generic if there exists a screen distribution \(S(TM)\) of \(M\) such that \(J(S(TM)^\perp)\subset S(TM)\), where \(J\) is the almost contact structure tensor of \(\overline M\).
openaire   +1 more source

On Trans-Sasakian manifolds

SUT Journal of Mathematics, 2009
Shaikh, A. A., Matsuyama, Y.
openaire   +1 more source

On a type of trans-Sasakian manifolds

2017
Summary: The object of the present paper is to study \(3\)-dimensional trans-Sasakian manifolds admitting a \(W_2\)-curvature tensor. Trans-Sasakian manifolds satisfying the curvature condition \(S(X,\xi). R = 0\) is also considered.
openaire   +1 more source

TRANS-SASAKIAN MANIFOLD AND HYPERSURFACE

International Journal of Mathematics Trends and Technology, 2021
openaire   +1 more source

Ricciη-parallel trans-Sasakian 3-manifolds

Quaestiones Mathematicae, 2019
In this paper, we present a new characterization for a trans-Sasakian 3-manifold to be proper. More precisely, we prove that if a compact trans-Sasakian 3-manifold has -parallel Ricci operator, then the manifold is homothetic to a cosymplectic or a Sasakian 3-manifold or is of type (0; β ) with ∇ β = ξ ( β ) ξ.
openaire   +2 more sources

A Study of Conformal $$\eta$$-Einstein Solitons on Trans-Sasakian 3-Manifold

Journal of Nonlinear Mathematical Physics, 2022
Santu Dey, Akram Ali, Arindam Bhattacharyya   +2 more
exaly  

On 3D Generalized Trans-Sasakian Manifold

International Electronic Journal of Geometry
In a 3-dimensional generalized trans-Sasakian manifold, explicit formula for Ricci operator, Ricci tensor and curvature tensor are obtained. In particular, expressions for Ricci tensor are obtained in a 3-dimensional generalized trans-Sasakian manifold in cases of the manifold being quasi-Einstein or generalized quasi-Einstein.
openaire   +1 more source