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Open AccessArticle
On the Potential Vector Fields of Soliton-Type Equations
by
Adara M. Blaga
Adara M. Blaga
Department of Mathematics, Faculty of Mathematics and Computer Science, West University of Timişoara, B-dul. V. Pârvan 4, 300223 Timişoara, Romania
Axioms 2024, 13(7), 476; https://doi.org/10.3390/axioms13070476 (registering DOI)
Submission received: 5 June 2024
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Revised: 7 July 2024
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Accepted: 14 July 2024
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Published: 16 July 2024
Abstract
We highlight some properties of a class of distinguished vector fields associated to a -tensor field and to an affine connection on a Riemannian manifold, with a special view towards the Ricci vector fields, and we characterize them with respect to statistical, almost Kähler, and locally product structures. In particular, we provide conditions for these vector fields to be closed, Killing, parallel, or semi-torse forming. In the gradient case, we give a characterization of the Euclidean sphere. Among these vector fields, the Ricci and torse-forming-like vector fields are particular cases.
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MDPI and ACS Style
Blaga, A.M.
On the Potential Vector Fields of Soliton-Type Equations. Axioms 2024, 13, 476.
https://doi.org/10.3390/axioms13070476
AMA Style
Blaga AM.
On the Potential Vector Fields of Soliton-Type Equations. Axioms. 2024; 13(7):476.
https://doi.org/10.3390/axioms13070476
Chicago/Turabian Style
Blaga, Adara M.
2024. "On the Potential Vector Fields of Soliton-Type Equations" Axioms 13, no. 7: 476.
https://doi.org/10.3390/axioms13070476
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