Marchesi, Giacomo, Portaluri, Alessandro, Waterstraat, Nils (2017) Not every conjugate point of a semi-Riemannian geodesic is a bifurcation point. arXiv, . (KAR id:61148)
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| Official URL: https://arxiv.org/abs/1703.10483 |
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Abstract
We revisit an example of a semi-Riemannian geodesic that was discussed by Musso, Pejsachowicz and Portaluri in 2007 to show that not every conjugate point is a bifurcation point. We point out a mistake in their argument, showing that on this geodesic actually every conjugate point is a bifurcation point. Finally, we provide an improved example which yields that the claim in our title is nevertheless true.
| Item Type: | Article |
|---|---|
| Subjects: |
Q Science > QA Mathematics (inc Computing science) > QA440 Geometry Q Science > QA Mathematics (inc Computing science) > QA801 Analytic mechanics |
| Divisions: | Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science |
| Depositing User: | Nils Waterstraat |
| Date Deposited: | 31 Mar 2017 10:51 UTC |
| Last Modified: | 11 Dec 2022 14:20 UTC |
| Resource URI: | https://kar.kent.ac.uk/id/eprint/61148 (The current URI for this page, for reference purposes) |
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