Conformally stationary Lorentzian tori with no conjugate points are flat

Palomo, Francisco; Romero, Alfonso

doi:10.1090/S0002-9939-09-09847-5

Conformally stationary Lorentzian tori with no conjugate points are flat
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by Francisco J. Palomo and Alfonso Romero PDF

Proc. Amer. Math. Soc. 137 (2009), 2403-2406 Request permission

Abstract:

A Lorentzian torus which admits a timelike conformal vector field and with no conjugate points on its timelike and spacelike geodesics is proved to be flat. If only the absence of conjugate points on timelike geodesics is assumed, a counterexample is shown.

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