2-Conformal Vector Fields on the Model Sol Space and Hyperbolic Ricci Solitons
In this study, we present the notion of 2-conformal vector fields on Riemannian and semi-Riemannian manifolds, which are an extension of Killing and conformal vector fields. Next, we provide suitable vector fields in Sol space that are 2-conformal. A few
Rawan Bossly +2 more
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On an Anti-Torqued Vector Field on Riemannian Manifolds
A torqued vector field ξ is a torse-forming vector field on a Riemannian manifold that is orthogonal to the dual vector field of the 1-form in the definition of torse-forming vector field. In this paper, we introduce an anti-torqued vector field which is
Sharief Deshmukh +2 more
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On Generalized Recurrent and Generalized Concircularly Recurrent Weyl Manifolds
In the present work, generalized recurrent and generalized concircularly recurrent Weyl manifolds are examined. We define nearly quasi-Einstein Weyl manifolds and we proved that if a generalized recurrent or generalized concircularly recurrent Weyl ...
İlhan Gül
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ON SOME SURFACES IMMERSED IN A MANIFOLD ADMITTING A SPECIAL CONCIRCULAR VECTOR FIELD
Ryszard Deszcz
exaly +4 more sources
Conformal η-Ricci Solitons on Riemannian Submersions under Canonical Variation
This research article endeavors to discuss the attributes of Riemannian submersions under the canonical variation in terms of the conformal η-Ricci soliton and gradient conformal η-Ricci soliton with a potential vector field ζ.
Mohd. Danish Siddiqi +3 more
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Concircular vector fields and pseudo-Kaehler manifolds [PDF]
A vector field on a pseudo-Riemannian manifold N is called concircular if it satisfies ΔXv = μX for any vector X tangent to N, where ∆ is the Levi-Civita connection of N. A concircular vector field satisfying ∆Xv = µX is called a nontrivial concircular vector field if the function µ is non-constant.
Bang-Yen Chen
openaire +2 more sources
Energy–Momentum Squared Gravity Attached with Perfect Fluid Admitting Conformal Ricci Solitons
In the present research note, we explore the nature of the conformal Ricci solitons on the energy–momentum squared gravity model F(R,T2) that is a modification of general relativity.
Mohd Danish Siddiqi, Ibrahim Al-Dayel
doaj +2 more sources
Anti-Invariant Lorentzian Submersions From Lorentzian Concircular Structure Manifolds
This research article attempts to investigate anti-invariant Lorentzian submersions and the Lagrangian Lorentzian submersions (LLS) from the Lorentzian concircular structure [in short (LCS)n] manifolds onto semi-Riemannian manifolds with relevant non ...
M. Danish Siddiqi +3 more
doaj +1 more source
Characterizing small spheres in a unit sphere by Fischer–Marsden equation
We use a nontrivial concircular vector field u on the unit sphere S n + 1 $\mathbf{S}^{n+1}$ in studying geometry of its hypersurfaces. An orientable hypersurface M of the unit sphere S n + 1 $\mathbf{S}^{n+1}$ naturally inherits a vector field v and a ...
Nasser Bin Turki +2 more
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On harmonic and biharmonic maps from gradient Ricci solitons
Abstract We study harmonic and biharmonic maps from gradient Ricci solitons. We derive a number of analytic and geometric conditions under which harmonic maps are constant and which force biharmonic maps to be harmonic. In particular, we show that biharmonic maps of finite energy from the two‐dimensional cigar soliton must be harmonic.
Volker Branding
wiley +1 more source

