Deforming a hypersurface by Gauss curvature and support function

Abstract

We study the motion of smooth, strictly convex bodies in ${\mathbb{R}}^n$ expanding in the direction of their normal vector field with speed depending on Gauss curvature and support function.

(to appear) J. Funct. Anal

References in corpus (3)

• Non-scale-invariant inverse curvature flows in Euclidean space
• Entropy and a convergence theorem for Gauss curvature flow in high dimension
• Flow by the power of the Gauss curvature

Cited by in corpus (9)

• Deforming a hypersurface by principal radii of curvature and support function
• A unified flow approach to smooth, even $L_p$-Minkowski problems
• Orlicz-Minkowski flows
• Flow by the power of the Gauss curvature
• Christoffel-Minkowski flows
• Iterations of curvature images
• On the stability of the $L_p$-curvature
• Deforming a convex hypersurface with low entropy by its Gauss curvature
• A Gauss curvature flow related to the Orlicz-Aleksandrov problem