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$H$-contact unit tangent sphere bundles of Riemannian manifolds
Published 13 Jul 2016 in math.DG | (1607.03744v1)
Abstract: A contact metric manifold is said to be $H$-contact, if the characteristic vector field is harmonic. We prove that the unit tangent bundle of a Riemannian manifold $M$ equipped with the standard contact metric structure is $H$-contact if and only if $M$ is $2$-stein.
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