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

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Druta, S.
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Abstract
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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.
Comment: 11 pages, contribution to The Ninth International Conference on Geometry, Integrability and Quantization, June 8 13, 2007, Varna, Bulgaria
Keywords
Mathematics - Differential Geometry, 53C55, 53C15, 53C05
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