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Sibirskii Matematicheskii Zhurnal, 2004, Volume 45, Number 3, Pages 566–576 (Mi smj1090)  
This article is cited in 12 scientific papers (total in 12 papers)

The magnetic geodesic flow in a homogeneous field on the complex projective space

D. I. Efimov

Novosibirsk State University, Mechanics and Mathematics Department
Full-text PDF (199 kB) Citations (12)
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Abstract: We prove commutative integrability of the Hamilton system on the tangent bundle of the complex projective space whose Hamiltonian coincides with the Hamiltonian of the geodesic flow and the Poisson bracket deforms due to addition of the Fubini–Study form to the standard symplectic form.
Keywords: geodesic flow, commutative integrability, complex projective space, Fubini–Study form, Thimm method.
Received: 19.11.2003
English version:
Siberian Mathematical Journal, 2004, Volume 45, Issue 3, Pages 465–474
DOI: https://doi.org/10.1023/B:SIMJ.0000028611.65071.bd
Bibliographic databases:
UDC: 514.745.82
Language: Russian
Citation: D. I. Efimov, “The magnetic geodesic flow in a homogeneous field on the complex projective space”, Sibirsk. Mat. Zh., 45:3 (2004), 566–576; Siberian Math. J., 45:3 (2004), 465–474
Citation in format AMSBIB
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\transl
\jour Siberian Math. J.
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\pages 465--474
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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