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January 2024 Legendre magnetic flows for geodesic spheres in a complex projective space
Qingsong Shi, Toshiaki Adachi
Proc. Japan Acad. Ser. A Math. Sci. 100(1): 1-6 (January 2024). DOI: 10.3792/pjaa.100.001

Abstract

On a geodesic sphere in a complex projective space, we have Sasakian magnetic fields induced by the almost contact metric structure. In this paper, we investigate their magnetic flows on the unit sphere subbundle of the bundle of the contact distribution over this geodesic sphere, and show that they are smoothly conjugate to each other.

Citation

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Qingsong Shi. Toshiaki Adachi. "Legendre magnetic flows for geodesic spheres in a complex projective space." Proc. Japan Acad. Ser. A Math. Sci. 100 (1) 1 - 6, January 2024. https://doi.org/10.3792/pjaa.100.001

Information

Published: January 2024
First available in Project Euclid: 15 January 2024

Digital Object Identifier: 10.3792/pjaa.100.001

Subjects:
Primary: 53C22
Secondary: 53B35

Keywords: conjugate , geodesic spheres , Legendre curves , magnetic flows , Sasakian magnetic fields

Rights: Copyright © 2024 The Japan Academy

Vol.100 • No. 1 • January 2024
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