Geodesics and Killing vector fields on the tangent sphere bundle
| Autor: | Tatsuo Konno, Shukichi Tanno |
|---|---|
| Rok vydání: | 1998 |
| Předmět: |
Tangent bundle
Geodesic Fiber (mathematics) Computer Science::Information Retrieval General Mathematics 010102 general mathematics Mathematical analysis Space (mathematics) 53C22 01 natural sciences 53C25 Constant curvature Killing vector field Bundle 0103 physical sciences Mathematics::Differential Geometry 010307 mathematical physics 0101 mathematics Unit (ring theory) Mathematics |
| Zdroj: | Nagoya Math. J. 151 (1998), 91-97 |
| ISSN: | 2152-6842 0027-7630 |
| DOI: | 10.1017/s0027763000025186 |
| Popis: | We show that any Killing vector field on the unit tangent sphere bundle with Sasaki metric of a space of constant curvaturek≠ 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 curvaturek≠ 1 can be extended to a Killing vector field on the tangent bundle. |
| Databáze: | OpenAIRE |
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