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arXiv:0810.1363 [math.DG]AbstractReferencesReviewsResources

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

S. Druta

Published 2008-10-08Version 1

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.

Comments: 11 pages, contribution to The Ninth International Conference on Geometry, Integrability and Quantization, June 8 13, 2007, Varna, Bulgaria
Journal: Proceedings of The Ninth International Conference on Geometry, Integrability and Quantization, June 8 13, 2007, Varna, Bulgaria, Ivalo M. Mladenov, Editor, SOFTEX, Sofia 2008, pp 198 209
Categories: math.DG
Subjects: 53C55, 53C15, 53C05
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