Non-homogeneous fully nonlinear contracting flows of convex hypersurfaces

Abstract

We consider a general class of non-homogeneous contracting flows of convex hypersurfaces in Rn+1 ${\mathbb{R}}^{n+1}$ , and prove the existence and regularity of the flow before extincting to a point in finite time.

Keywords

• contracting curvature flow
• convex hypersurfaces
• 35k55
• 35b65
• 53a05
• 58g11