The covering-map conjecture for nonsurjective developing maps

Let MM be a compact conformally flat Lorentzian manifold with developing map dev:M~R2n+2\operatorname{dev}:\widetilde M\to \mathbb{R}^{2n+2}, and suppose that dev\operatorname{dev} is not surjective. The covering-map conjecture. The developing map dev\operatorname{dev} is a covering map onto its image. This would strengthen the structural consequences available from the discreteness of the holonomy group; the source does not provide evidence that the assertion has been resolved.

Sources & referencesView supporting material

Primary source

Yoshinobu Kamishima, “Lorentzian similarity manifold”, arXiv:1110.1792 (2011).

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