The Sectional Curvature of the Tangent Bundles with General Natural Lifted Metrics
Abstract
Description
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
11 pages, contribution to The Ninth International Conference on Geometry, Integrability and Quantization, June 8 13, 2007, Varna, Bulgaria