| Résume | In this talk we will study the geometry of affine deformations of discrete subgroups
of SL(3,R) that quasi-divide a proper convex cone, that is, subgroups obtained by
adding a translation part in R3.
We give a suitable notion of regular domain, generalizing the work of Mess in
Minkowski space, and classify the regular domains invariant under the action of such
affine deformation. Moreover we show that each such regular domain is uniquely
foliated by convex surfaces of constant affine Gaussian curvature, extending a result
of Barbot-Béguin-Zeghib.
This is joint work with Xin Nie. |
