Dynamical systems accepting the normal shift on an arbitrary Riemannian manifold

Abstract

Newtonian dynamical systems which accept the normal shift on an arbitrary Riemannian manifold are considered. For them the determinating equations making the weak normality condition are derived. The expansion for the algebra of tensor fields is constructed.

10 pages. Published in book: "Dynamical systems accepting the normal shift". Editor Sharipov R.A., Bashkir State University, Ufa 1994, pp. 4-19

References in corpus (2)

• Dynamical Systems Accepting the Normal Shift
• Problem of Metrizability for the Dynamical Systems Accepting the Normal Shift

Cited by in corpus (6)

• First problem of globalization in the theory of dynamical systems admitting the normal shift of hypersurfaces
• On the solutions of weak normality equations in multidimensional case
• Complete normality conditions for the dynamical systems on Riemannian manifolds
• Normal shift in general Lagrangian dynamics
• Tensor functions of tensors and the concept of extended tensor fields
• Foundations of geometry for university students and high-school students