Not every conjugate point of a semi-Riemannian geodesic is a bifurcation point

Marchesi, Giacomo and Portaluri, Alessandro and Waterstraat, Nils (2017) Not every conjugate point of a semi-Riemannian geodesic is a bifurcation point. arXiv, . (Submitted) (Full text available)

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https://arxiv.org/abs/1703.10483

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: Faculties > Sciences > School of Mathematics Statistics and Actuarial Science
Faculties > Sciences > School of Mathematics Statistics and Actuarial Science > Pure Mathematics
Depositing User: Nils Waterstraat
Date Deposited: 31 Mar 2017 10:51 UTC
Last Modified: 18 May 2018 14:35 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/61148 (The current URI for this page, for reference purposes)
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