Results 31 to 40 of about 2,167 (137)

Geometric classifications of k-almost Ricci solitons admitting paracontact metrices

Open Mathematics, 2023
The prime objective of the approach is to give geometric classifications of kk-almost Ricci solitons associated with paracontact manifolds. Let M2n+1(φ,ξ,η,g){M}^{2n+1}\left(\varphi ,\xi ,\eta ,g) be a paracontact metric manifold, and if a KK-paracontact
Li Yanlin, Patra Dhriti Sundar, Alluhaibi Nadia, Mofarreh Fatemah, Ali Akram   +4 more
doaj   +1 more source

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

CLASSIFICATION OF THREE-DIMENSIONAL CONFORMALLY FLAT QUASI-PARA-SASAKIAN MANIFOLDS [PDF]

, 2019
The aim of this paper is to study three-dimensional conformally flat quasi-para-Sasakian manifolds. First, the necessary and sufficient conditions are provided for three-dimensional quasi-para-Sasakian manifolds to be conformally flat.
Erken, İrem Küpeli
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

Some Curvature Conditions on a Para-Sasakian Manifold with Canonical Paracontact Connection

International Journal of Mathematics and Mathematical Sciences, 2012
We study canonical paracontact connection on a para-Sasakian manifold. We prove that a Ricci-flat para-Sasakian manifold with respect to canonical paracontact connection is an η-Einstein manifold.
Bilal Eftal Acet, Erol Kılıç, Selcen Yüksel Perktaş   +2 more
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

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

Geometry of Harmonic Nearly Trans-Sasakian Manifolds

, 2023
This paper considers a class of nearly trans-Sasakian manifolds. The local structure of nearly trans-Sasakian structures with a closed contact form and a closed Lee form is obtained.
Aligadzhi R. Rustanov
core   +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