Results 81 to 90 of about 3,845 (153)
Harmonic (p, q)‐Curves in Trans‐Sasakian and Normal Almost Paracontact Metric Manifolds
Journal of Mathematics, Volume 2025, Issue 1, 2025.In this paper, we give some characterizations about biharmonic, f‐harmonic, and f‐biharmonic (p, q)‐curves in 3‐dimensional trans‐Sasakian and normal almost paracontact metric manifolds. The (p, q)‐curves are considered as generalizations of magnetic curves.
Murat Altunbaş, B. B. Upadhyay
wiley +1 more source
The Casimir operator of a metric connection with skew-symmetric torsion
, 2003 For any triple $(M^n, g, \nabla)$ consisting of a Riemannian manifold and a metric connection with skew-symmetric torsion we introduce an elliptic, second order operator $\Omega$ acting on spinor fields.
Agricola +17 more
core +3 more sources
Geometric Classifications of Perfect Fluid Space‐Time Admit Conformal Ricci‐Bourguignon Solitons
Journal of Mathematics, Volume 2024, Issue 1, 2024.This paper is dedicated to the study of the geometric composition of a perfect fluid space‐time with a conformal Ricci‐Bourguignon soliton, which is the extended version of the soliton to the Ricci‐Bourguignon flow. Here, we have delineated the conditions for conformal Ricci‐Bourguignon soliton to be expanding, steady, or shrinking.
Noura Alhouiti +6 more
wiley +1 more source
The Z‐Tensor on Almost Co‐Kählerian Manifolds Admitting Riemann Soliton Structure
Advances in Mathematical Physics, Volume 2024, Issue 1, 2024.A Riemann soliton (RS) is a natural generalization of a Ricci soliton structure on pseudo‐Riemannian manifolds. This work aims at investigating almost co‐Kählerian manifolds (ACKM) 2n+1 whose metrics are Riemann solitons utilizing the properties of the Z‐tensor.
Sunil Kumar Yadav +4 more
wiley +1 more source
Fundamental Journal of Mathematics and Applications, 2019 In this paper we study three-dimensional quasi-Sasakian manifolds admitting the Schouten-van Kampen connection. Also, we study D-homothetic deformations on three-dimensional quasi-Sasakian manifolds admitting Schouten-van connection and projectively flat three-dimensional quasi-Sasakian manifolds admitting scv connection.
Ahmet SAZAK, Ahmet YILDIZ
openaire +4 more sources
A Study on Contact Metric Manifolds Admitting a Type of Solitons
Journal of Mathematics, Volume 2024, Issue 1, 2024.The principal aim of the present article is to characterize certain properties of η‐Ricci–Bourguignon solitons on three types of contact manifolds, that are K‐contact manifolds, (κ, μ)‐contact metric manifolds, and N(κ)‐contact metric manifolds. It is shown that if a K‐contact manifold admits an η‐Ricci–Bourguignon soliton whose potential vector field ...
Tarak Mandal +4 more
wiley +1 more source
CR-submanifolds of a nearly trans-Sasakian manifold
International Journal of Mathematics and Mathematical Sciences, 2002 This paper considers the study of CR-submanifolds of a nearly trans-Sasakian manifold, generalizing the results of trans-Sasakian manifolds and thus those of Sasakian manifolds.
Falleh R. Al-Solamy
doaj +1 more source
A new curvature-like tensor in an almost contact Riemannian manifold
Pracì Mìžnarodnogo Geometričnogo Centru, 2016 In a M. Prvanović’s paper [5], we can find a new curvature-like tensor in an almost Hermitian manifold.In this paper, we define a new curvature-like tensor, named contact holomorphic Riemannian, briefly (CHR), curvature tensor in an almost ...
Koji Matsumoto
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Einstein like -para Sasakian manifolds
Kuwait Journal of Science, 2013 Einstein like -para Sasakian manifolds are introduced. For an -para Sasakian manifold to be Einstein like, a necessary and sufficient condition in terms of its curvature tensor is obtained.
SADIK KELES +3 more
doaj
Certain results for η-Ricci Solitons and Yamabe Solitons on quasi-Sasakian 3-Manifolds
Cubo, 2019 We classify quasi-Sasakian 3-manifold with proper η-Ricci soliton and investigate its geometrical properties. Certain results of Yamabe soliton on such manifold are also presented.
Sunil Kumar Yadav +2 more
doaj +1 more source