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Is there an analogue to the eight Thurston geometries for Lorentz metrics?

If so, how many "disctinct" geometries are there in the Lorentzian case?

And which closed 3-manifolds admit metrics which are locally modelled on one of those lorentzian model geometries?

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    $\begingroup$ Both questions are answered here: link.springer.com/article/10.1007%2Fs10711-010-9480-0 mathscinet.ams.org/mathscinet-getitem?mr=2737692 $\endgroup$
    – Ian Agol
    Commented Oct 25, 2018 at 17:39
  • $\begingroup$ Thanks for your comment. Do you know of any english reference for this? $\endgroup$
    – JS.
    Commented Oct 26, 2018 at 9:15
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    $\begingroup$ Have you tried Google translate? It's pretty good, except for the formatting. dropbox.com/s/x6dgppxud4ot1g7/… $\endgroup$
    – Ian Agol
    Commented Oct 26, 2018 at 18:00
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    $\begingroup$ No I have actually never tried that on a math paper. But I will give it a try. Thank you! $\endgroup$
    – JS.
    Commented Oct 27, 2018 at 8:14
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    $\begingroup$ @IanAgol could you make answer from your comment, so the question will be removed from unanswered list? $\endgroup$
    – Anton Petrunin
    Commented Jan 29, 2023 at 13:32

1 Answer 1

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Both questions are answered here:

Dumitrescu, Sorin; Zeghib, Abdelghani, Three-dimensional Lorentz geometries: Classification and completeness, Geom. Dedicata 149, 243-273 (2010). ZBL1216.53025.

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