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Conformal η-Ricci-Yamabe Solitons within the Framework of ϵ-LP-Sasakian 3-Manifolds
In the present note, we study ϵ-LP-Sasakian 3-manifolds M3ϵ whose metrics are conformal η-Ricci-Yamabe solitons (in short, CERYS), and it is proven that if an M3ϵ with a constant scalar curvature admits a CERYS, then £Uζ is orthogonal to ζ if and only if
Abdul Haseeb, Meraj Ali Khan
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Contact geometry in superconductors and New Massive Gravity
The defining property of every three-dimensional ε-contact manifold is shown to be equivalent to requiring the fulfillment of London's equation in 2+1 electromagnetism. To illustrate this point, we show that every such manifold that is also K-contact and
Daniel Flores-Alfonso +2 more
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Soliton on Sasakian manifold endowed with quarter-symmetric non-metric connection on the tangent bundle [PDF]
PurposeThe purpose of this paper is to study the properties of the solitons on Sasakian manifold on the tangent bundle with respect to quarter symmetric non metric connection.Design/methodology/approachWe used the vertical and complete lifts, Ricci ...
Lalnunenga Colney, Rajesh Kumar
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Geometric classifications of k-almost Ricci solitons admitting paracontact metrices
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
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Semi-symmetric almost c(α)-manifold on some curvature tensors [PDF]
In this article, semi-symmetry of almost C (α)-manifold is investigated on some special curvature tensors. First, the behavior of the almost C (α)-manifold is investigated when the special curvature tensors discussed are flat.
Mert, Tuğba +2 more
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∗−Conformal η−Ricci Solitons on α−Cosymplectic Manifolds
The object of this paper is to study ∗−conformal η−Ricci solitons on α−cosymplectic manifolds. First, α−cosymplectic manifolds admitting ∗−conformal η−Ricci solitons satisfying the conditions R(ξ, .) · S and S(ξ, .) · R = 0 are being studied.
Abdul Haseeb, D. G. Prakasha, H. Harish
doaj
W8 - Curvature Tensor in Generalized Sasakian Space Forms
The generalized Sasakian-space-forms and their properties have been examined by various researchers such as Alegre and Carriazo [2008], Prakasha [2012], Sarkar and Akbar [2014], Shanmukha et al.
Gyanvendra Pratap Singh +3 more
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Minimal Immersions of Kahler manifolds into Euclidean Spaces [PDF]
It is proved here that a minimal isometric immersion of a Kähler-Einstein or homogeneous Kähler-manifold into an Euclidean space must be totally ...
Di Scala, Antonio Jose'
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The Zamkovoy canonical paracontact connection on a para-Kenmotsu manifold
The object of the paper is to study a type of canonical linear connection, called the Zamkovoy canonical paracontact connection on a para-Kenmotsu manifold.
D. G. Prakasha +3 more
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Why Einstein did not believe that General Relativity geometrizes gravity [PDF]
I argue that, contrary to folklore, Einstein never really cared for geometrizing the gravitational or (subsequently) the electromagnetic field; indeed, he thought that the very statement that General Relativity geometrizes gravity "is not saying anything
Lehmkuhl, D, Lehmkuhl, Dennis
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