NOT EVERY CONJUGATE POINT OF A SEMI-RIEMANNIAN GEODESIC IS A BIFURCATION POINT

Giacomo Marchesi; Alessandro Portaluri; Nils Waterstraat

doi:10.57262/die/1537840873

NOT EVERY CONJUGATE POINT OF A SEMI-RIEMANNIAN GEODESIC IS A BIFURCATION POINT

Giacomo Marchesi, Alessandro Portaluri, Nils Waterstraat

Mathematics

Research output: Contribution to journal › Article › peer-review

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 shows that the claim in our title is nevertheless true.

Original language	English (US)
Pages (from-to)	871-880
Number of pages	10
Journal	Differential and Integral Equations
Volume	31
Issue number	11-12
DOIs	https://doi.org/10.57262/die/1537840873
State	Published - Nov 2018

ASJC Scopus subject areas

Analysis
Applied Mathematics

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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 shows that the claim in our title is nevertheless true.",

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NOT EVERY CONJUGATE POINT OF A SEMI-RIEMANNIAN GEODESIC IS A BIFURCATION POINT

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