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Keller magnetic fields in space of constant holomorphic sectional curvature

  • Physics Of Elementary Particles And Field Theory
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Abstract

Keller magnetic fields on Keller manifolds of constant holomorphic curvature with an arbitrary signature are considered. The metric of the Keller space of constant holomorphic curvature is obtained in general form. Simulation of the Keller magnetic fields of by means of H-projective curves of a flat space is used to reduce the study of the trajectory equations to a study of one ordinary second-order differential equation.

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References

  1. S. Kobayasi and K. Nomidzu, Foundations of Differential Geometry. Vol. II, [in Russian], Nauka, Moscow (1981).

    Google Scholar 

  2. A. Comtet, Ann. Phys.,173, 185 (1987).

    Google Scholar 

  3. A. Z. Petrov, Dokl. Akad. Nauk SSSR,186, 1302 (1969).

    Google Scholar 

  4. N. S. Sinyukov, Geodesic Mappings of Riemann Spaces [in Russian], Nauka, Moscow (1981).

    Google Scholar 

  5. J. Sniatycki, Geometric Quantization and Quantum Mechanics, Springer, Berlin (1980).

    Google Scholar 

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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 1, pp. 13–19, January, 1996.

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Kalinin, D.A. Keller magnetic fields in space of constant holomorphic sectional curvature. Russ Phys J 39, 9–15 (1996). https://doi.org/10.1007/BF02069233

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  • DOI: https://doi.org/10.1007/BF02069233

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