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2-conformal and conformal vector fields on Riemannian manifolds
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In this paper, we study 2-conformal vector fields on Riemannian manifolds. Some relations between 2-conformal vector fields, conformal vector fields, Killing and 2-Killing vector fields have been obtained. Also, relation between monotone vector fields and 2-conformal vector fields is investigated. We give the characterization of 2-conformal vector fields on standard Euclidean spaces. Finally, examples of such vector fields on some Riemannian manifolds is presented.
Title: 2-conformal and conformal vector fields on Riemannian manifolds
Description:
In this paper, we study 2-conformal vector fields on Riemannian manifolds.
Some relations between 2-conformal vector fields, conformal vector fields, Killing and 2-Killing vector fields have been obtained.
Also, relation between monotone vector fields and 2-conformal vector fields is investigated.
We give the characterization of 2-conformal vector fields on standard Euclidean spaces.
Finally, examples of such vector fields on some Riemannian manifolds is presented.
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