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

• 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
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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...