g-Natural metrics of constant sectional curvature

S. Degla; J. -P. Ezin; L. Todjihounde

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arXiv · 0809.1992

g-Natural metrics of constant sectional curvature

S. Degla·J. -P. Ezin·L. Todjihounde

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Abstract

We prove that the tangent bundle endowed with a g-natural metrics has constant sectional curvature if and only if it is flat, and then we give a characterization of flat g-natural metrics on tangent bundles.

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BibTeX RIS

S. Degla, J. -P. Ezin, L. Todjihounde. 2008-09-11. g-Natural metrics of constant sectional curvature. https://arxiv.org/abs/0809.1992

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