Covariant derivatives of Jacobi fields on a manifold of nonpositive curvature

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

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Bibliographic Details
Date:1998
Main Authors: Bondarenko, V. G., Бондаренко, В. Г.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 1998
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/4885
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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author Bondarenko, V. G.
Бондаренко, В. Г.
Бондаренко, В. Г.
author_facet Bondarenko, V. G.
Бондаренко, В. Г.
Бондаренко, В. Г.
author_sort Bondarenko, V. G.
baseUrl_str https://umj.imath.kiev.ua/index.php/umj/oai
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datestamp_date 2020-03-18T21:16:32Z
description We obtain estimates of the covariant derivatives of Jacobi fields along a geodesic on a Riemannian manifold of negative curvature.
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spelling umjimathkievua-article-48852020-03-18T21:16:32Z Covariant derivatives of Jacobi fields on a manifold of nonpositive curvature Ковариантные производные полей Якоби на многообразии неположительной кривизны Bondarenko, V. G. Бондаренко, В. Г. Бондаренко, В. Г. We obtain estimates of the covariant derivatives of Jacobi fields along a geodesic on a Riemannian manifold of negative curvature. На рімановому многовиді від'ємної кривизни одержано оцінки коваріантних похідних полів Якобі вздовж геодезичної. Institute of Mathematics, NAS of Ukraine 1998-06-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4885 Ukrains’kyi Matematychnyi Zhurnal; Vol. 50 No. 6 (1998); 755–764 Український математичний журнал; Том 50 № 6 (1998); 755–764 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4885/6469 https://umj.imath.kiev.ua/index.php/umj/article/view/4885/6470 Copyright (c) 1998 Bondarenko V. G.
spellingShingle Bondarenko, V. G.
Бондаренко, В. Г.
Бондаренко, В. Г.
Covariant derivatives of Jacobi fields on a manifold of nonpositive curvature
title Covariant derivatives of Jacobi fields on a manifold of nonpositive curvature
title_alt Ковариантные производные полей Якоби на многообразии неположительной кривизны
title_full Covariant derivatives of Jacobi fields on a manifold of nonpositive curvature
title_fullStr Covariant derivatives of Jacobi fields on a manifold of nonpositive curvature
title_full_unstemmed Covariant derivatives of Jacobi fields on a manifold of nonpositive curvature
title_short Covariant derivatives of Jacobi fields on a manifold of nonpositive curvature
title_sort covariant derivatives of jacobi fields on a manifold of nonpositive curvature
url https://umj.imath.kiev.ua/index.php/umj/article/view/4885
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