2018/01/26 by Hallgren, Max
#Differential Geometry (math.DG) #FOS: Mathematics
paper · doi:10.48550/arxiv.1801.08643
In this short paper, we show there do not exist three-dimensional noncompact κ-solutions of Ricci flow that have positive curvature and satisfy a Type-I bound. This represents progress towards the proof of Perelman's conjecture that the only complete noncompact three-dimensional κ-solution with positive curvature is the Bryant soliton.