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Projective Curvature Tensorin 3-dimensional Connected Trans-Sasakian Manifolds [PDF]

, 2016
summary:The object of the present paper is to study $\xi $-projectively flat and $\phi $-projectively flat 3-dimensional connected trans-Sasakian manifolds.
De, Krishnendu, De, Uday Chand
core   +1 more source

On Compact Trans-Sasakian Manifolds

, 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
core   +1 more source

ON (?)-para sasakian 3-manifolds

, 2012
In this paper we study the 3-dimensional (?)-para Sasakian manifolds. We obtain a necessary and sufficient condition for an (?)-para Sasakian 3- manifold to be an indefinite space form.
Kel?s S., Kili?c E., Tripathi M.M., Perkta?s S.Y.   +3 more
core   +2 more sources

A study on W9-curvature tensor within the framework of Lorentzian para-Sasakian manifold

Extracta Mathematicae
This article focuses on the study of Lorentzian para-Sasakian manifolds Mn . It demonstrates that a W9-semisymmetric Lorentzian para-Sasakian manifold is a W9-flat manifold.
G.P. Singh, S.S. Mishra, P. Sharma
doaj   +1 more source

Some Basic Inequalities on (ϵ)-Para Sasakian Manifold

Symmetry, 2022
We propose fundamental inequalities for contact pseudo-slant submanifolds of (ϵ)-para Sasakian space form employing generalized normalized δ-Casorati curvature. We characterize submanifolds for which equality cases hold and illustrate the main result with some applications.
Majid Ali Choudhary, Mohammad Nazrul Islam Khan, Mohammad Danish Siddiqi   +2 more
openaire   +1 more source

Ricci-Bourguignon soliton on three dimensional para-Sasakian manifold [PDF]

Journal of Hyperstructures
In the present paper we study Ricci-Bourguignon solitons on three dimensional para-Sasakian manifolds with potential vector field as a special vector field. We proved the conditions for such manifold to be isometric to hyperbolic space.
Yashaswini R, Nagaraja H.G.
doaj   +1 more source

ON SOME CLASSES OF INVARIANT SUBMANIFOLDS OF LORENTZIAN PARA-SASAKIAN MANIFOLDS

, 2017
The object of the present paper is to study invariant submanifolds of Lorenzian Para-Sasakian manifolds. We consider the recurrent and bi-recurrent invariant submanifolds of Lorentzian para-Sasakian manifolds and pseudo-parallel and generalized Ricci ...
Samui, Srimayee;De, Uday Chand
core   +1 more source

The GJMS operators in geometry, analysis and physics

Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
Abstract The GJMS operators, introduced by Graham, Jenne, Mason and Sparling, are a family of conformally invariant linear differential operators with leading term a power of the Laplacian. These operators and their method of construction have had a major impact in geometry, analysis and physics.
Jeffrey S. Case, A. Rod Gover
wiley   +1 more source

On a class of Lorentzian para-Sasakian manifold

Proceedings of the Estonian Academy of Sciences. Physics. Mathematics, 2006
We classify Lorentzian para-Sasakian manifolds which satisfy P · C = 0, Z · C = LC Q(g, C), P · Z − Z · P = 0, and P · Z + Z · P = 0, where P is the v−Weyl projective tensor, Z is the concircular tensor, and C is the Weyl conformal curvature tensor.
Cengizhan Murathan, Ahmet Yıldız, Kadri Arslan, Uday Chand De   +3 more
openaire   +1 more source

Riemann Solitons on Relativistic Bulk‐Viscous Fluid String Spacetime

International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
In this article, we undertake a comprehensive study of almost Riemann solitons and their gradient counterparts within the framework of relativistic bulk‐viscous fluid string (BVFS) geometries. We begin by analyzing the potential vector field. It is shown that, on BVFS backgrounds, this potential vector must coincide with a torse‐forming field which is ...
Mehdi Jafari, Shahroud Azami, Shikha Binwal   +2 more
wiley   +1 more source