On the concept of normal shift in non-metric geometry

Details On the concept of normal shift in non-metric geometry On the concept of normal shift in non-metric geometry

2002-08-05

arxiv.org/abs/math/0208029v1

Mathematics

Differential Geometry

AmSTeX, 47 pages, amsppt style

Scientific paper

Theory of Newtonian dynamical systems admitting normal shift of hypersurfaces was first developed for the case of Riemannian manifolds. Recently it was generalized for manifolds geometric equipment of which is given by some regular Lagrangian or, equivalently, by some regular Hamiltonian dynamical system. In present paper we consider further generalization of this theory for the case, when geometry of manifold is given by generalized Legendre transformation.

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