Conformally flat tangent bundles with general natural lifted metrics

dc.creatorDruta, S. L.
dc.date2008-10-09
dc.date.accessioned2026-07-07T10:08:46Z
dc.date.available2026-07-07T10:08:46Z
dc.descriptionWe study the conditions under which the tangent bundle $(TM,G)$ of an $n$-dimensional Riemannian manifold $(M,g)$ is conformally flat, where $G$ is a general natural lifted metric of $g$. We prove that the base manifold must have constant sectional curvature and we find some expressions for the natural lifted metric $G$, such that the tangent bundle $(TM,G)$ become conformally flat.
dc.description12 pages, contribution to The Eight International Workshop on Differential Geomerty and Its Applications, August 19 25, 2007, "Babes Bolyai" University, Cluj Napoca, Romania
dc.identifierhttps://arxiv.org/abs/0810.1646
dc.identifierhttp://arxiv.org/abs/0810.1646
dc.identifierContemporary Geometry and Topology and Related Topics Cluj Napoca, August 19 25, 2007, pp. 153 166
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/171107
dc.subjectDifferential Geometry
dc.subject53C55, 53C15, 53C05
dc.titleConformally flat tangent bundles with general natural lifted metrics
dc.typetext

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