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

• Published in: Український математичний журнал
• Date: 2004
• Main Authors: Sakharova, E., Yampolsky, A.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2004
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/164369
• 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.

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...