THE UNIVERSAL COVER OF AN AFFINE THREE-MANIFOLD WITH HOLONOMY OF SHRINKABLE DIMENSION ≤ TWO

DOI10.1142/S0129167X00000171zbMath1110.57301arXivdg-ga/9706011OpenAlexW2078819341MaRDI QIDQ2728504

Suhyoung Choi

Publication date: 1 August 2001

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/dg-ga/9706011

zbMATH Keywords

Morse theoryaffine structureAffine manifoldaspherical three-manifoldfake 3-cellsingular hyperbolic three-manifold

Mathematics Subject Classification ID

Related Items (1)

Convex and concave decompositions of affine 3-manifolds

Cites Work

• Convex real projective structures on compact surfaces
• Affine manifolds with nilpotent holonomy
• Three-dimensional affine crystallographic groups
• Projective structures with Fuchsian holonomy
• Incompressible surfaces in 2-bridge knot complements
• Distality, completeness, and affine structures
• An obstruction to the existence of affine structures
• Open manifolds foliated by planes
• Projective nilmanifolds
• Autour de la conjecture de L. Markus sur les variétés affines. (Around the conjecture of L. Markus on affine manifolds)
• On the existence of a connection with curvature zero
• On compact conformally euclidean spaces of dimension \(>2\)
• REAL PROJECTIVE MANIFOLDS DEVELOPING INTO AN AFFINE SPACE
• The classification of real projective structures on compact surfaces
• The convex and concave decomposition of manifolds with real projective structures
• An Infinite Dimensional Version of Sard's Theorem
• STABLE MAPPINGS OF FOLIATIONS INTO MANIFOLDS
• Deformations of hyperbolic \(3\)-cone-manifolds

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