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arXiv · 1301.2492

Local normal forms for geodesically equivalent pseudo-Riemannian metrics

Alexey V. Bolsinov·Vladimir S. Matveev
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Abstract

Two pseudo-Riemannian metrics $g $ and $\bar g$ are geodesically equivalent, if they share the same (unparameterized) geodesics. We give a complete local description of such metrics which solves the natural generalisation of Beltrami problem for pseudo-Riemannian metrics.

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Alexey V. Bolsinov, Vladimir S. Matveev. 2013-01-11. Local normal forms for geodesically equivalent pseudo-Riemannian metrics. https://doi.org/10.1090/s0002-9947-2014-06416-7

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