Results 21 to 30 of about 197 (118)
ρ‐Einstein Solitons on Warped Product Manifolds and Applications
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 The purpose of this research is to investigate how a ρ‐Einstein soliton structure on a warped product manifold affects its base and fiber factor manifolds. Firstly, the pertinent properties of ρ‐Einstein solitons are provided. Secondly, numerous necessary and sufficient conditions of a ρ‐Einstein soliton warped product manifold to make its factor ρ ...
Nasser Bin Turki +5 more
wiley +1 more source
Conformal η‐Ricci‐Yamabe Solitons within the Framework of ϵ‐LP‐Sasakian 3‐Manifolds
Advances in Mathematical Physics, Volume 2022, Issue 1, 2022., 2022 In the present note, we study ϵ‐LP‐Sasakian 3‐manifolds M3(ϵ) whose metrics are conformal η‐Ricci‐Yamabe solitons (in short, CERYS), and it is proven that if an M3(ϵ) with a constant scalar curvature admits a CERYS, then £Uζ is orthogonal to ζ if and only if Λ − ϵσ = −2ϵl + (mr/2) + (1/2)(p + (2/3)). Further, we study gradient CERYS in M3(ϵ) and proved
Abdul Haseeb +2 more
wiley +1 more source
Biharmonic Curves in a Strict Walker 3‐Manifold
International Journal of Mathematics and Mathematical Sciences, Volume 2022, Issue 1, 2022., 2022 In this paper, we study the geometry of biharmonic curves in a strict Walker 3‐manifold and we obtain explicit parametric equations for biharmonic curves and time‐like biharmonic curves, respectively. We discuss the conditions for a speed curve to be a slant helix in a Walker manifold.
Mamadou Gningue +3 more
wiley +1 more source
Sub‐Lorentzian Geometry of Curves and Surfaces in a Lorentzian Lie Group
Advances in Mathematical Physics, Volume 2022, Issue 1, 2022., 2022 We consider the sub‐Lorentzian geometry of curves and surfaces in the Lie group E(1, 1). Firstly, as an application of Riemannian approximants scheme, we give the definition of Lorentzian approximants scheme for E(1, 1) which is a sequence of Lorentzian manifolds denoted by Eλ1,λ2L.
Haiming Liu +2 more
wiley +1 more source
Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021 The group of rigid motions of the Minkowski plane with a general left‐invariant metric is denoted by (E(1, 1), g(λ1, λ2)), where λ1 ≥ λ2 > 0. It provides a natural 2‐parametric deformation family of the Riemannian homogeneous manifold Sol3 = (E(1, 1), g(1, 1)) which is the model space to solve geometry in the eight model geometries of Thurston. In this
Jianyun Guan +2 more
wiley +1 more source
A Note on LP‐Sasakian Manifolds with Almost Quasi‐Yamabe Solitons
Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021 We categorize almost quasi‐Yamabe solitons on LP‐Sasakian manifolds and their CR‐submanifolds whose potential vector field is torse‐forming, admitting a generalized symmetric metric connection of type (α, β). Finally, a nontrivial example is provided to confirm some of our results.
Sunil Kumar Yadav +3 more
wiley +1 more source
Geodesic Lightlike Submanifolds of Lorentzian Para-Sasakian Manifolds
Journal of Physics: Conference Series, 2022 Abstract In this paper we study invariant lightlike submanifolds of Lorentzian para-sasakian manifolds. We investigate geodesic CR-lightlike submanifolds of Lorentzian para-sasakian manifolds. We study screen CR-lightlike submanifolds of Lorentzian para-sasakian manifolds.
Ejaz Sabir Lone, Pankaj Pandey
openaire +1 more source
A New Class of Contact Pseudo Framed Manifolds with Applications
International Journal of Mathematics and Mathematical Sciences, Volume 2021, Issue 1, 2021., 2021 In this paper, we introduce a new class of contact pseudo framed (CPF)‐manifolds (M, g, f, λ, ξ) by a real tensor field f of type (1,1), a real function λ such that f3 = λ2f where ξ is its characteristic vector field. We prove in our main Theorem 2 that M admits a closed 2‐form Ω if λ is constant.
K. L. Duggal, Luca Vitagliano
wiley +1 more source
Pseudo‐Parallel Characteristic Jacobi Operators on Contact Metric 3 Manifolds
Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021 We prove that the characteristic Jacobi operator on a contact metric three manifold is semiparallel if and only if it vanishes. We determine Lie groups of dimension three admitting left invariant contact metric structures such that the characteristic Jacobi operators are pseudoparallel.
Wenjie Wang +2 more
wiley +1 more source
On ?-Conformally and ?-Pseudo Projectively Flat Lorentzian Sasakian Manifolds with Tanaka-Webster Connection [PDF]
, 2022 In this work, the Tanaka-Webster connection on a Lorentzian Sasakian manifold is defined and the notions xi-quasi conformally and xi-pseudo projectively flat structures on a Lorentzian Sasakian manifold are introduced.
Erdogan, Mehmet, Alo, Jeta
core +1 more source