Problems around 3–manifolds

2007/12/03 by J Rubinstein, J Hyam Rubinstein · 9 citations
Engineering · Mathematics · #Combinatorics #Compressibility #Engineering #Flow (mathematics) #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometric flow #Geometry #Geometry and complex manifolds #Manifold (fluid mechanics) #Mathematical analysis #Mathematics #Mechanical engineering #Mechanics #Physics #Pure mathematics #Ricci curvature #Ricci flow #Topology (electrical circuits) #math.GT #msc:53C42 #msc:53C44 #msc:57M50 #msc:57N13 #msc:57R17

paper · pdf · doi:10.2140/gtm.2007.12.285

published in Geometry and topology monographs, 285-298 (Mathematical Sciences Publishers) · This is the version published by Geometry & Topology Monographs on 3 December 2007

openalex publication_date 2007/12/03 · arxiv created 2009/03/31 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

This is a personal view of some problems on minimal surfaces, Ricci flow, polyhedral geometric structures, Haken 4-manifolds, contact structures and Heegaard splittings, singular incompressible surfaces after the Hamilton-Perelman revolution.

Citations

• Pinching constants for hyperbolic manifolds
• On Irreducible 3-Manifolds Which are Sufficiently Large
• Existence of Incompressible Minimal Surfaces and the Topology of Three Dimensional Manifolds with Non-Negative Scalar Curvature

Cited by

• Heegaard splittings of 3--manifolds (Haifa 2005): Problems

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