Nonhomogeneous Gauss Curvature Flows
Nonhomogeneous Gauss Curvature Flows
We study the expansion of a smooth closed convex hypersurface in euclidean space by a nonhomogeneous function of the Gaussian curvature.The contraction and bi-directional cases are also treated briefly.Given a closed convex n-dimensional hypersurface M 0 in R n+1 , we shall consider its expansion along its outward normal vector …