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A 3–Manifold with no Real Projective Structure
Annales de la Faculté des sciences de Toulouse : Mathématiques, Serie 6, Volume 24 (2015) no. 5, pp. 1219-1238.

We show that the connected sum of two copies of real projective 3-space does not admit a real projective structure. This is the first known example of a connected 3-manifold without a real projective structure.

Nous montrons que la somme connexe de deux copies de l’espace projectif de dimension trois n’admet pas de structure projective réelle. Ceci est le premier exemple connu d’une variété connexe de dimension 3 sans structure projective réelle.

Published online:
DOI: 10.5802/afst.1482
Daryl Cooper 1; William Goldman 2

1 Department of Mathematics, University of California Santa Barbara, CA 93106, USA
2 Department of Mathematics at the University of Maryland, College Park, MD 20742, USA
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Daryl Cooper; William Goldman. A 3–Manifold with no Real Projective Structure. Annales de la Faculté des sciences de Toulouse : Mathématiques, Serie 6, Volume 24 (2015) no. 5, pp. 1219-1238. doi : 10.5802/afst.1482. https://afst.centre-mersenne.org/articles/10.5802/afst.1482/

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