Karpatsʹkì Matematičnì Publìkacìï, 2023 The goal of this paper is to find some important Einstein manifolds using conformal Ricci solitons and conformal Ricci almost solitons. We prove that a Kenmotsu metric as a conformal Ricci soliton is Einstein if it is an $\eta$-Einstein or the potential ...
S. Dey
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Characteristics of Sasakian Manifolds Admitting Almost ∗-Ricci Solitons
Fractal and Fractional, 2023 This article presents some results of a geometric classification of Sasakian manifolds (SM) that admit an almost ∗-Ricci soliton (RS) structure (g,ω,X). First, we show that a complete SM equipped with an almost ∗-RS with ω≠ const is a unit sphere.
Vladimir Rovenski, Dhriti Sundar Patra
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Geometry of conformal η-Ricci solitons and conformal η-Ricci almost solitons on paracontact geometry
Open Mathematics, 2022 We prove that if an η\eta -Einstein para-Kenmotsu manifold admits a conformal η\eta -Ricci soliton then it is Einstein. Next, we proved that a para-Kenmotsu metric as a conformal η\eta -Ricci soliton is Einstein if its potential vector field VV is ...
Li Yanlin +3 more
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Invariants and Infinitesimal Transformations for Contact Sub-Lorentzian Structures on 3-Dimensional Manifolds [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2015 In this article we develop some elementary aspects of a theory of symmetry in sub-Lorentzian geometry. First of all we construct invariants characterizing isometric classes of sub-Lorentzian contact 3 manifolds. Next we characterize vector fields which generate isometric and conformal symmetries in general sub-Lorentzian manifolds.
Grochowski, M., Warhurst, B.
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Third post-Newtonian dynamics of compact binaries: Noetherian conserved quantities and equivalence between the harmonic-coordinate and ADM-Hamiltonian formalisms [PDF]
, 2000 A Lagrangian from which derive the third post-Newtonian (3PN) equations of motion of compact binaries (neglecting the radiation reaction damping) is obtained.
Bel L +28 more
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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
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On Dirac's incomplete analysis of gauge transformations [PDF]
, 2004 Dirac's approach to gauge symmetries is discussed. We follow closely the steps that led him from his conjecture concerning the generators of gauge transformations {\it at a given time} --to be contrasted with the common view of gauge transformations as ...
Pons, Josep M.
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Structure of Symmetry Groups via Cartan's Method: Survey of Four Approaches [PDF]
, 2005 In this review article we discuss four recent methods for computing Maurer-Cartan structure equations of symmetry groups of differential equations. Examples include solution of the contact equivalence problem for linear hyperbolic equations and finding a
Morozov, Oleg I.
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*-Ricci soliton on (κ, μ)′-almost Kenmotsu manifolds
Open Mathematics, 2019 Let (M, g) be a non-Kenmotsu (κ, μ)′-almost Kenmotsu manifold of dimension 2n + 1. In this paper, we prove that if the metric g of M is a *-Ricci soliton, then either M is locally isometric to the product ℍn+1(−4)×ℝn or the potential vector field is ...
Dai Xinxin, Zhao Yan, Chand De Uday
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On the Structure of Lie Pseudo-Groups [PDF]
, 2009 We compare and contrast two approaches to the structure theory for Lie pseudo-groups, the first due to Cartan, and the second due to the first two authors.
Olver, Peter J. +2 more
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