Theoretical and Mathematical Physics

, Volume 103, Issue 2, pp 543–549 | Cite as

Dynamical systems on a Riemannian manifold that admit normal shift

  • A. Yu. Boldin
  • V. V. Dmitrieva
  • S. S. Safin
  • R. A. Sharipov


Newtonian dynamical systems that admit normal shift on an arbitrary Riemannian manifold are considered. The determining equations for these systems, which constitute the condition of weak normality, are derived. The extension of the algebra of tensor fields to manifolds is considered.


Manifold Dynamical System Riemannian Manifold Tensor Field Determine Equation 
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Copyright information

© Plenum Publishing Corporation 1995

Authors and Affiliations

  • A. Yu. Boldin
  • V. V. Dmitrieva
  • S. S. Safin
  • R. A. Sharipov

There are no affiliations available

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