Results 21 to 30 of about 115 (103)

Properties of Anti-Invariant Submersions and Some Applications to Number Theory

open access: yesMathematics, 2023
In this article, we investigate anti-invariant Riemannian and Lagrangian submersions onto Riemannian manifolds from the Lorentzian para-Sasakian manifold.
Ali H. Hakami, Mohd. Danish Siddiqi
doaj   +1 more source

Radical Transversal Lightlike Submanifolds of Indefinite Para-Sasakian Manifolds

open access: yesDemonstratio Mathematica, 2014
In this paper, we study radical transversal lightlike submanifolds and screen slant radical transversal lightlike submanifolds of indefinite para-Sasakian manifolds giving some non-trivial examples of these submanifolds.
Shukla S.S., Yadav Akhilesh
doaj   +1 more source

Homology of Warped Product Semi‐Invariant Submanifolds of a Sasakian Space Form with Semisymmetric Metric Connection

open access: yesJournal of Mathematics, Volume 2023, Issue 1, 2023., 2023
This paper focuses on the investigation of semi‐invariant warped product submanifolds of Sasakian space forms endowed with a semisymmetric metric connection. We delve into the study of these submanifolds and derive several fundamental results. Additionally, we explore the practical implications of our findings by applying them to the homology analysis ...
Ibrahim Al-Dayel   +3 more
wiley   +1 more source

Indefinite Almost Paracontact Metric Manifolds

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2010
We introduce the concept of (ε)-almost paracontact manifolds, and in particular, of (ε)-para-Sasakian manifolds. Several examples are presented. Some typical identities for curvature tensor and Ricci tensor of (ε)-para Sasakian manifolds are obtained. We
Mukut Mani Tripathi   +3 more
doaj   +1 more source

Geometric classifications of k-almost Ricci solitons admitting paracontact metrices

open access: yesOpen 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   +4 more
doaj   +1 more source

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

open access: yesInternational 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   +2 more
doaj   +1 more source

Some Basic Inequalities on (ϵ)-Para Sasakian Manifold

open access: yesSymmetry, 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   +2 more
openaire   +1 more source

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

open access: yesExtracta 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

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

open access: yesJournal 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

The GJMS operators in geometry, analysis and physics

open access: yesJournal 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

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