The Sectional Curvature of the Tangent Bundles with General Natural Lifted Metrics

Abstract

We study some properties of the tangent bundles with metrics of general natural lifted type. We consider a Riemannian manifold $(M,g)$ and we find the conditions under which the Riemannian manifold $(TM,G)$, where $TM$ is the tangent bundle of $M$ and $G$ is the general natural lifted metric of $g$, has constant sectional curvature.

11 pages, contribution to The Ninth International Conference on Geometry, Integrability and Quantization, June 8 13, 2007, Varna, Bulgaria

References in corpus (1)

• Cheeger Gromoll type metrics on the tangent bundle