g-Natural metrics of constant sectional curvature

Details g-Natural metrics of constant sectional curvature g-Natural metrics of constant sectional curvature

2008-09-11

arxiv.org/abs/0809.1992v1

Mathematics

Differential Geometry

Scientific paper

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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