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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