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VOL. 9 | 2008 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.

Information

Published: 1 January 2008
First available in Project Euclid: 13 July 2015

zbMATH: 1192.53033
MathSciNet: MR2436272

Digital Object Identifier: 10.7546/giq-9-2008-198-209

Rights: Copyright © 2008 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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