Geometry & Topology Monographs 12 (2007) 285–298

DOI: 10.2140/gtm.2007.12.285

arXiv: 0904.0017

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.

Keywords

minimal surface, hyperbolic 3–manifold, Ricci flow, combinatorial geometric structure, Haken 4–manifold, contact structure, Heegaard splitting, singular incompressible surface

Mathematical Subject Classification

Primary: 57M50

Secondary: 53C42, 53C44, 57N13, 57R17

References

Publication

Received: 24 April 2006
Revised: 29 July 2007
Accepted: 29 July 2007
Published: 3 December 2007

Authors