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arxiv: math/0101150 · v1 · submitted 2001-01-18 · 🧮 math.DG · math.DS

First problem of globalization in the theory of dynamical systems admitting the normal shift of hypersurfaces

classification 🧮 math.DG math.DS
keywords admittingdynamicalformulaglobalizationhypersurfacesnormalproblemshift
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Formula for the force field of Newtonian dynamical systems admitting the normal shift of hypersurfaces in Riemannian manifolds is considered. Problem of globalization for geometric structures associated with this formula is studied.

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