Mathematics – Differential Geometry
Scientific paper
2008-10-09
Contemporary Geometry and Topology and Related Topics Cluj Napoca, August 19 25, 2007, pp. 153 166
Mathematics
Differential Geometry
12 pages, contribution to The Eight International Workshop on Differential Geomerty and Its Applications, August 19 25, 2007,
Scientific paper
We 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.
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