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arXiv · 0810.1646

Conformally flat tangent bundles with general natural lifted metrics

S. L. Druta
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Abstract

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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S. L. Druta. 2008-10-09. Conformally flat tangent bundles with general natural lifted metrics. https://arxiv.org/abs/0810.1646

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