2002/03/27 by David Bachman, Bachman, David
Mathematics · #49Q05 #57M99 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Topology (math.GT) #math.DG #math.GT #msc:49Q05 #msc:57M99
paper · pdf · doi:10.48550/arxiv.math/0203279
9 pages; For proceedings of the conference "Heegaard Splittings and Dehn surgeries of 3-manifolds", Kyoto University Research Institute for Mathematical Sciences, June 2001
arxiv created 2002/03/27 · arxiv updated 2009/11/30
This paper contains the motivation for the study of critical surfaces. In previous work the only justification given for the definition of this new class of surfaces is the strength of the results. However, when viewed as the topological analogue to index 2 minimal surfaces, critical surfaces become quite natural.