Факультет інженерно-технологічний

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Browsing Факультет інженерно-технологічний by Subject "almost geodesic curve"

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    Canonical almost geodesic mappings of type π1 onto pseudo-Riemannian manifolds
    (Hackensack, NJ: World Scientific, 2008) Березовський, Володимир Євгенійович; Berezovskii, V. E.
    In this paper, the authors study properties of canonical almost geodesic mappings of type π˜1 onto pseudo-Riemannian manifolds. They find necessary and sufficient conditions for existence of the canonical almost geodesic mappings of type π˜1 of a manifold endowed with a linear connection onto pseudo-Riemannian manifolds. The conditions are described by means of a closed system of partial differential equations of first order of Cauchy type.