α-Gauss Curvature flows with flat sides

2011/09/30 by Kim, Lami, Lee, Ki-ahm, Rhee, Eunjai
#35K20 #35K55 #35K96 #53A05 #53C44 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1109.6699

Abstract

In this paper, we study the deformation of the 2 dimensional convex surfaces in \R³ whose speed at a point on the surface is proportional to α-power of positive part of Gauss Curvature. First, for 1/2

Related

• α-Gauss Curvature flows
• Ancient Gauss Curvature Flows of Bounded Width
• Flow by the power of the Gauss curvature
• Flow by powers of the Gauss curvature in space forms
• Regularity of the p-Gauss curvature flow with flat side