A small closed convex projective 4-manifold via Dehn filling

Abstract

In order to obtain a closed orientable convex projective four-manifold with small positive Euler characteristic, we build an explicit example of convex projective Dehn filling of a cusped hyperbolic four-manifold through a continuous path of projective cone-manifolds.

29 pages, 8 figures. To appear in Publicacions Matemàtiques

References in corpus (1)

• Geometric transition from hyperbolic to anti-de Sitter structures in dimension four

Cited by in corpus (2)

• Geometric transition from hyperbolic to anti-de Sitter structures in dimension four
• Divisible convex sets with properly embedded cones