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The decomposition and classification of radiant affine 3-manifolds
About this Title
Suhyoung Choi
Publication: Memoirs of the American Mathematical Society
Publication Year:
2001; Volume 154, Number 730
ISBNs: 978-0-8218-2704-8 (print); 978-1-4704-0323-2 (online)
DOI: https://doi.org/10.1090/memo/0730
MathSciNet review: 1848866
MSC: Primary 57N16; Secondary 37C10, 53C10, 57M50, 57N10
Table of Contents
Chapters
- 0. Introduction
- 1. Preliminary
- 2. ($n$ - 1)-convexity: previous results
- 3. Radiant vector fields, generalized affine suspensions, and the radial completeness
- 4. Three-dimensional radiant affine manifolds and concave affine manifolds
- 5. The decomposition along totally geodesic surfaces
- 6. 2-convex radiant affine manifolds
- 7. The claim and the rooms
- 8. The radiant tetrahedron case
- 9. The radiant trihedron case
- 10. Obtaining concave-cone affine manifolds
- 11. Concave-cone radiant affine 3-manifolds and radiant concave affine 3-manifolds
- 12. The nonexistence of pseudo-crescent-cones