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Jacobi fields on a Riemann manifold

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Abstract

Some properties of Jacobi fields on a manifold of nonpositive curvature are considered. As a result, we obtain relations for derivatives of one class of functions on the manifold.

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Authors and Affiliations

  1. “Kiev Polytechnic Institute” National Technical University, Kiev

    V. G. Bondarenko

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  1. V. G. Bondarenko
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 58, No. 12, pp. 1602–1613, December, 2006.

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Bondarenko, V.G. Jacobi fields on a Riemann manifold. Ukr Math J 58, 1818–1833 (2006). https://doi.org/10.1007/s11253-006-0170-x

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  • DOI: https://doi.org/10.1007/s11253-006-0170-x

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