Curvature Estimation and Stability of Constant Mean Curvature Hypersurfaces

Abstract:

      In this paper we estimate the Gaussian curvature of a conformal metric on a hypersurface with constant mean curvature in the space form N^ｎ＋１(C). By use of the estimation, we study the stability of the domains of hypersurfaces with constant mean curvature in N^ｎ＋１ (C).