Some Remarks on a Class of Submanifolds in Space Forms of Non-Negative Curvature.
In this note, we are concerned with the Kozlowski-Simon conjecture on ovaloids and prove that it is correct under additional conditions.
In this paper, we get an intrinsic inequality for spacelike submanifolds in indefinite space form , . We also get some rigidity theorems for such spacelike submanifolds.
Nous passons en revue certains résultats récents sur l’existence et l’unicité des sphères à courbure moyenne constante dans les variétés riemanniennes homogènes simplement connexes de dimension et leurs liens avec le problème isopérimétrique dans ces variétés.
We show stability and consistency of the linear semi-implicit complementary volume numerical scheme for solving the regularized, in the sense of Evans and Spruck, mean curvature flow equation in the level set formulation. The numerical method is based on the finite volume methodology using the so-called complementary volumes to a finite element triangulation. The scheme gives the solution in an efficient and unconditionally stable way.