Powers of the curvature operator of space forms and geodesics of the tangent bundle

It is well known that if Г is a geodesic line of the tangent (sphere) bundle with Sasaki metric of a locally symmetric Riemannian manifold, then all geodesic curvatures of the projected curve λ=π 1463-01 Г are constant. In this paper, we consider the case of the tangent (sphere) bundle over real, co...

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Bibliographic Details
Date:2004
Main Authors: Sakharova, Е., Yampolsky, A., Сахарова, Є., Ямпольський, А.
Format: Article
Language:English
Published: Institute of Mathematics, NAS of Ukraine 2004
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/3837
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal