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

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

2008-10-08

arxiv.org/abs/0810.1363v1

Proceedings of The Ninth International Conference on Geometry, Integrability and Quantization, June 8 13, 2007, Varna, Bulgari

Mathematics

Differential Geometry

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

Scientific paper

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.

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