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Geodesic Vector Fields on a Riemannian Manifold [PDF]
Mathematics, 2020 A unit geodesic vector field on a Riemannian manifold is a vector field whose integral curves are geodesics, or in other worlds have zero acceleration. A geodesic vector field on a Riemannian manifold is a smooth vector field with acceleration of each of
Sharief Deshmukh +2 more
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A Note on Geodesic Vector Fields [PDF]
Mathematics, 2020 The concircularity property of vector fields implies the geodesicity property, while the converse of this statement is not true. The main objective of this note is to find conditions under which the concircularity and geodesicity properties of vector ...
Sharief Deshmukh +3 more
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A Note on Solitons with Generalized Geodesic Vector Field [PDF]
Symmetry, 2021 We consider a general notion of an almost Ricci soliton and establish some curvature properties for the case in which the potential vector field of the soliton is a generalized geodesic or a 2-Killing vector field. In this vein, we characterize trivial generalized Ricci solitons.
Adara M Blaga +2 more
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Geodesic and Newtonian Vector Fields and Symmetries of Mechanical Systems
Symmetry, 2023 Geodesic vector fields and other distinguished vector fields on a Riemann manifold were used in the study of free motions on such a manifold, and we applied the geometric Hamilton–Jacobi theory for the search of geodesic vector fields from Hamilton–Jacobi vector fields and the same for closed vector fields.
JOSÉ F Cariñena, Cariñena JOSÉ F
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Einstein solitons with unit geodesic potential vector field
AIMS Mathematics, 2021 The authors establish some results on almost Einstein solitons with unit geodesic potential vector field and provide necessary and sufficient conditions for the soliton to be trivial. They prove the following contributory result: Let \((g,\xi,\lambda)\) be an almost Einstein soliton on the compact and connected \(n\)-dimensional smooth manifold \(M (n ...
Adara M Blaga, Sharief Deshmukh
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Geodesic Mappings of Vn(K)-Spaces and Concircular Vector Fields [PDF]
Mathematics, 2019 In the present paper, we study geodesic mappings of special pseudo-Riemannian manifolds called V n ( K ) -spaces. We prove that the set of solutions of the system of equations of geodesic mappings on V n ( K ) -spaces forms a ...
Igor G. Shandra, Josef Mikeš
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On geodesic vector fields in a compact orientableRiemannian space
Commentarii Mathematici Helvetici, 1961 Yano Kentaro
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Anti-Invariant Lorentzian Submersions From Lorentzian Concircular Structure Manifolds
Frontiers in Physics, 2022 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
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Properties of Anti-Invariant Submersions and Some Applications to Number Theory
Mathematics, 2023 In this article, we investigate anti-invariant Riemannian and Lagrangian submersions onto Riemannian manifolds from the Lorentzian para-Sasakian manifold.
Ali H. Hakami, Mohd. Danish Siddiqi
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Soliton-Type Equations on a Riemannian Manifold
Mathematics, 2022 We study some particular cases of soliton-type equations on a Riemannian manifold. We give an estimation of the first nonzero eigenvalue of the Laplace operator and provide necessary and sufficient conditions for the manifold to be isometric to a sphere.
Nasser Bin Turki +2 more
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