| Abstract |
Many complete Riemannian manifolds of constant curvature, including complete hyperbolic manifolds, can be realized as quotients of convex domains in real projective spaces by discrete linear group actions. Among these discrete groups, an important and broad class is given by linear reflection groups (also called linear Coxeter groups). In dimension 3, many such linear reflection groups arise from hyperbolic reflection groups, using Andreev’s theorem, through small deformations and gluing constructions. In this talk, I will introduce these ideas and concepts, explain the basic picture, and discuss some recent developments related to the projective Andreev theorem. |
