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Sbornik: Mathematics, 2001, Volume 192, Issue 6, Pages 895–932
DOI: https://doi.org/10.1070/SM2001v192n06ABEH000575 (Mi sm575) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Newtonian normal shift in multidimensional Riemannian geometry

R. A. Sharipov

Bashkir State University
English version PDF (373 kB) Citations (2)
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DOI: https://doi.org/10.1070/SM2001v192n06ABEH000575
Abstract: An explicit description of all Newtonian dynamical systems admitting normal shift in Riemannian manifolds of dimension $n\geqslant 3$ is obtained. On this basis the kinematics of the normal shift of hypersurfaces along trajectories of such dynamical systems is studied.
Received: 29.05.2000
Russian version:
Matematicheskii Sbornik, 2001, Volume 192, Number 6, Pages 105–144
DOI: https://doi.org/10.4213/sm575
Bibliographic databases:
UDC: 514.7
MSC: Primary 37C10, 53C21; Secondary 70F20
Language: English
Original paper language: Russian
Citation: R. A. Sharipov, “Newtonian normal shift in multidimensional Riemannian geometry”, Mat. Sb., 192:6 (2001), 105–144; Sb. Math., 192:6 (2001), 895–932
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник - 1992–2005 Sbornik: Mathematics
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    Abstract page:544
    Russian version PDF:229
    English version PDF:33
    References:85
    First page:3
     
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