English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We build examples of properly convex projective manifold $\Omega/ \Gamma$which have finite volume, are not compact, nor hyperbolic in every dimension $n\geqslant 2$. On the way, we build Zariski-dense discrete subgroups of$\SL_{n+1}(\R)$ which are not lattice, nor Schottky groups. Moreover, the openproperly convex set $\Omega$ is strictly-convex, even Gromov-hyperbolic.  Nous construisons des exemples de vari\'et\'es projectives $\Omega/ \Gamma$proprement convexes de volume fini, non hyperbolique, non compacte en toutedimension $n \geqslant 2$. Ceci nous permet au passage de construire desgroupes discrets Zariski-dense de $\SL_{n+1}(\R)$ qui ne sont ni des r\'eseauxde $\SL_{n+1}(\R)$, ni des groupes de Schottky. De plus, l'ouvert proprementconvexe $\Omega$ est strictement convexe, m\^eme Gromov-hyperbolique.

Exemples de variétés projectives strictement convexes de volume fini en dimension quelconque