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

• Datum: 2004
• Hauptverfasser: Sakharova, Е., Yampolsky, A., Сахарова, Є., Ямпольський, А.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2004
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/3837
• Назва журналу: 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...