The Decomposition and Classification of Radiant Affine 3-Manifolds

Introduction Acknowledgement Preliminary $(n-1)$-convexity: previous results Radiant vector fields, generalized affine suspensions, and the radial completeness Three-dimensional radiant affine manifolds and concave affine manifolds The decomposition along totally geodesic surfaces $2$-convex radiant affine manifolds The claim and the rooms The radiant tetrahedron case The radiant trihedron case Obtaining concave-cone affine manifolds Concave-cone radiant affine $3$-manifolds and radiant concave affine $3$-manifolds The nonexistence of pseudo-crescent-cones Appendix A. Dipping intersections Appendix B. Sequences of $n$-balls Appendix C. Radiant affine $3$-manifolds with boundary, and certain radiant affine $3$-manifolds Bibliography