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Geodesics and Killing vector fields on the tangent sphere bundle
Published online by Cambridge University Press: 22 January 2016
Abstract.
We show that any Killing vector field on the unit tangent sphere bundle with Sasaki metric of a space of constant curvature k ≠ 1 is fiber preserving by studying some property of geodesies on the bundle. As a consequence, any Killing vector field on the unit tangent sphere bundle of a space of constant curvature k ≠ 1 can be extended to a Killing vector field on the tangent bundle.
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- Copyright © Editorial Board of Nagoya Mathematical Journal 1998
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