The sectional curvature of the tangent bundles with general natural lifted metrics. (English) Zbl 1192.53033
Mladenov, Ivaïlo M. (ed.), Proceedings of the 9th international conference on geometry, integrability and quantization, Sts. Constantine and Elena, Bulgaria, June 8–13, 2007. Sofia: Bulgarian Academy of Sciences (ISBN 978-954-8495-42-4/pbk). 198-209 (2008).
Summary: We study some properties of the tangent bundles with metrics of general natural lifted type. We consider a Riemannian manifold and we find the conditions under which the Riemannian manifold , where is the tangent bundle of and is the so-called general natural lifted metric of , has constant sectional curvature.
|53C15||Differential geometric structures on manifolds|
|53C20||Global Riemannian geometry, including pinching|