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arXiv · 1703.10483

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

Giacomo Marchesi·Alessandro Portaluri·Nils Waterstraat
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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.

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Giacomo Marchesi, Alessandro Portaluri, Nils Waterstraat. 2017-03-30. Not every conjugate point of a semi-Riemannian geodesic is a bifurcation point. https://arxiv.org/abs/1703.10483

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