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Covariant derivatives of Jacobi fields on a manifold of nonpositive curvature

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Abstract

We obtain estimates of the covariant derivatives of Jacobi fields along a geodesic on a Riemannian manifold of negative curvature.

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Authors and Affiliations

  1. Kiev Polytechnic Institute, Kiev

    V. G. Bondarenko

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  1. V. G. Bondarenko
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 50, No. 6, pp. 755–764, June, 1998.

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Bondarenko, V.G. Covariant derivatives of Jacobi fields on a manifold of nonpositive curvature. Ukr Math J 50, 857–869 (1998). https://doi.org/10.1007/BF02515219

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  • DOI: https://doi.org/10.1007/BF02515219

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