A pinching problem on the second fundamental tensors and submanifolds of a sphere
A pinching problem on the second fundamental tensors and submanifolds of a sphere
Introduction.In a previous paper [4] the present author proved the following THEOREM A. Let M be an n-dimensional compact, connected hypersurface with constant mean curvature immersed in an (n + l)-dimensional Riemannian manifold of non-negative constant curvature.If the second fundamental tensor H satisfies, n -1 then M is a totally …