$H$-contact unit tangent sphere bundles of Riemannian manifolds

Yuri Nikolayevsky; Jeong Hyeong Park

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arXiv · 1607.03744

$H$-contact unit tangent sphere bundles of Riemannian manifolds

Yuri Nikolayevsky·Jeong Hyeong Park

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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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Yuri Nikolayevsky, Jeong Hyeong Park. 2016-07-13. $H$-contact unit tangent sphere bundles of Riemannian manifolds. https://arxiv.org/abs/1607.03744

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