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=π₁₄₆₃₋₀₁ Г are constant. In this paper, we consider the case of the tangent (sphere) bundle over real, com...

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Bibliographic Details
Date:2004
Main Authors: Sakharova, E., Yampolsky, A.
Format: Article
Language:English
Published: Інститут математики НАН України 2004
Series:Український математичний журнал
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Powers of the curvature operator of space forms and geodesics of the tangent bundle / E. Sakharova, A. Yampolsky // Український математичний журнал. — 2004. — Т. 56, № 9. — С. 1231–1243. — Бібліогр.: 5 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine