Abstract
Typical examples of uniform magnetic fields are Kähler magnetic fields on Kähler manifolds. It is very difficult to study magnetic Jacobi fields of non-uniform magnetic fields in an arbitrary Riemannian manifold. The canonical magnetic fields of Sasakian manifolds are non-uniform but exact. In this paper, we completely determine magnetic Jacobi fields on Sasakian space forms of dimension greater or equal to 5.
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Acknowledgements
J.I. was partially supported by JSPS KAKENHI Grant Number JP19K03461, JP19H02048, JP16K05133. M.I.M. was partially supported by a grant of the Romanian Ministry of Research, Innovation and Digitization, within Program 1—Development of the national RD system, Subprogram 1.2—Institutional Performance—RDI excellence funding projects, Contract no. 11PFE/30.12.2021, as well as by CNCS—UEFISCDI project number PN-III-P1-1.1-PD-2019-0253, within PNCDI III. Both authors wish to thank anonymous referee for his or her valuable remarks made on the first version of this paper.
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Inoguchi, Ji., Munteanu, M.I. Magnetic Jacobi Fields in Sasakian Space Forms. Mediterr. J. Math. 20, 29 (2023). https://doi.org/10.1007/s00009-022-02230-z
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DOI: https://doi.org/10.1007/s00009-022-02230-z