1301.2492 (Alexey V. Bolsinov et al.)

Local normal forms for geodesically equivalent pseudo-Riemannian metrics    [PDF]

Alexey V. Bolsinov, Vladimir S. Matveev

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.

View original: http://arxiv.org/abs/1301.2492