Magnetic cubics in Riemannian manifolds associated with different magnetic fields

Abstract

Analogous to magnetic curves generalizing geodesics, magnetic cubics are generalized Riemannian cubics in the presence of magnetic fields. In this paper, we mainly study magnetic cubics in Riemannian manifolds associated with different magnetic fields. In addition to presenting the differential equations for magnetic cubics, we find the connection between magnetic cubics and Riemannian cubics in Lie groups and Sasakian space forms. Furthermore, some closed form solutions are achieved for special magnetic cubics, for instance, the so-called null magnetic cubics.

Document Type

Journal Article

Date of Publication

2019

Publication Title

Journal of Mathematical Physics

Publisher

AIP Publishing LLC.

School

School of Science

RAS ID

36832

Comments

Zhang, E. (2019). Magnetic cubics in Riemannian manifolds associated with different magnetic fields. Journal of Mathematical Physics, 60(12), article 122703. https://doi.org/10.1063/1.5096809

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Link to publisher version (DOI)

10.1063/1.5096809