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Teoreticheskaya i Matematicheskaya Fizika, 1995, Volume 103, Number 2, Pages 267–275 (Mi tmf1301)  
This article is cited in 5 scientific papers (total in 5 papers)

Complete normality conditions for the dynamical systems on Riemannian manifolds

A. Yu. Boldin, A. A. Bronnikov, V. V. Dmitrieva, R. A. Sharipov

Bashkir State University
Full-text PDF (983 kB) Citations (5)
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Abstract: New equations that transform the previously found conditions of weak normality into conditions of complete normality are established for Newtonian dynamical systems on Riemannian manifolds.
Received: 25.10.1993
Revised: 10.01.1995
English version:
Theoretical and Mathematical Physics, 1995, Volume 103, Issue 2, Pages 550–555
DOI: https://doi.org/10.1007/BF02274032
Bibliographic databases:
Language: Russian
Citation: A. Yu. Boldin, A. A. Bronnikov, V. V. Dmitrieva, R. A. Sharipov, “Complete normality conditions for the dynamical systems on Riemannian manifolds”, TMF, 103:2 (1995), 267–275; Theoret. and Math. Phys., 103:2 (1995), 550–555
Citation in format AMSBIB
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\by A.~Yu.~Boldin, A.~A.~Bronnikov, V.~V.~Dmitrieva, R.~A.~Sharipov
\paper Complete normality conditions for the dynamical systems on Riemannian manifolds
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\yr 1995
\vol 103
\issue 2
\pages 267--275
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\transl
\jour Theoret. and Math. Phys.
\yr 1995
\vol 103
\issue 2
\pages 550--555
\crossref{https://doi.org/10.1007/BF02274032}
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Linking options:
  • https://www.mathnet.ru/eng/tmf1301
  • https://www.mathnet.ru/eng/tmf/v103/i2/p267
    • This publication is cited in the following 5 articles:
    1. Linyu Peng, Huafei Sun, Xiao Sun, “Geometry of Hamiltonian Dynamics with Conformal Eisenhart Metric”, International Journal of Mathematics and Mathematical Sciences, 2011 (2011), 1  crossref
    2. R. A. Sharipov, “Dynamic Systems Admitting the Normal Shift and Wave Equations”, Theoret. and Math. Phys., 131:2 (2002), 651–665  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    3. R. A. Sharipov, “Newtonian normal shift in multidimensional Riemannian geometry”, Sb. Math., 192:6 (2001), 895–932  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    4. E. V. Ferapontov, R. A. Sharipov, “On first-order conservation laws for systems of hydronamic type equations”, Theoret. and Math. Phys., 108:1 (1996), 937–952  mathnet  crossref  crossref  mathscinet  zmath  isi
    5. R. A. Sharipov, “Metrizability of dynamical systems by a conformally equivalent metric”, Theoret. and Math. Phys., 103:2 (1995), 556–560  mathnet  crossref  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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