Author:
Konno Tatsuo,Tanno Shukichi
Abstract
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.
Publisher
Cambridge University Press (CUP)
Reference6 articles.
1. Killing vectors and geodesic flow vectors on tangent bundles;Tanno;J. reine angew. Math.,1976
2. On the tangent sphere bundle of a $2$-sphere
3. On the differential geometry of tangent bundles of Riemannian manifolds
4. On the geometry of the tangent bundle;Dombrowski;J. reine angew. Math.,1962
5. Killing vector fields on tangent sphere bundles
Cited by
3 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献