Killing Magnetic Curves in $\: \mathbb{H}^{3}$-Reference-Cited by-同舟云学术

Killing Magnetic Curves in $\: \mathbb{H}^{3}$

Published:2023-04-30 Issue:1 Volume:16 Page:181-195
ISSN:1307-5624
Container-title:International Electronic Journal of Geometry
language:
Short-container-title:

Author:

Erjavec Zlatko¹^ORCID,Inoguchi Jun-ichi²^ORCID

Affiliation:

1. University of Zagreb, Faculty of Organization and Informatics

2. Hokkaido University, Department of Mathematics

Abstract

We consider magnetic curves corresponding to the Killing magnetic fields in hyperbolic 3-space.

Publisher

International Electronic Journal of Geometry, Person (Kazim ILARSLAN)

Reference28 articles.

1. [1] Anosov, D. V., Sinaĭ, Y. G.: Some smooth ergodic systems, Uspekhi Mat. Nauk. 22 (5), 107–172 (1967). English translation: Russ. Math. Surv. 22 (5), 103–167 (1967).

2. [2] Arnol’d, V. I.: Some remarks on flows of line elements and frames. Dokl. Akad. Nauk. SSSR. 138, 255–257 (1961). English translation: Sov. Math. Dokl. 2, 562–564 (1961).

3. [3] Arnol’d, V. I.: First steps in symplectic topology. Uspekhi Mat. Nauk. 41 (6), 3–18 (1986). English translation: Russ. Math. Surv. 41, 1–21 (1986).

4. [4] Druţă-Romaniuc, S. L., Inoguchi, J., Munteanu, M. I.: Killing slant magnetic curves in the 3-dimensional Heisenberg group Nil3. Int. J. Geom. Methods Mod. Phys., Online Ready 2350094 (2023), https://doi.org/10.1142/S0219887823500949.

5. [5] Druţă-Romaniuc, S. L., Inoguchi, J., Munteanu, M. I., Nistor, A. I.: Magnetic curves in Sasakian manifolds. J. Nonlinear Math. Phys. 22 (3), 428–447 (2015).

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