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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)
MathSciNet review: 1848866
MSC: Primary 57N16; Secondary 37C10, 53C10, 57M50, 57N10

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Table of Contents


  • 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