α-Gauss Curvature flows

2013/06/05 by Lami Kim, Kim, Lami, Ki-ahm Lee +2 · 2 citations
Mathematics · #Geometric Analysis and Curvature Flows #Mathematical Dynamics and Fractals #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1306.1100

Abstract

In this paper, we study the deformation of the n-dimensional strictly convex hypersurface in \mathbb Rⁿ⁺¹ whose speed at a point on the hypersurface is proportional to α-power of positive part of Gauss Curvature. For (1)/(n)

Cited by

• Self-similar solutions of σ_k^α-curvature flow
• Uniqueness of closed self-similar solutions to the Gauss curvature flow

Related

• α-Gauss Curvature flows with flat sides
• Flow by powers of the Gauss curvature in space forms
• Flow by the power of the Gauss curvature
• Volume preserving Gauss curvature flow of convex hypersurfaces in the hyperbolic space
• Deforming a hypersurface by Gauss curvature and support function