SUBMANIFOLDS WITH CONSTANT SCALAR CURVATURE IN A UNIT SPHERE

Abstract

We study the submanifolds in the unit sphere $\boldsymbol{S}^{n+p}$ with constant scalar curvature and parallel normalized mean curvature vector field. In this case, we can generalize the work of the second author about hypersurfaces in [8] to submanifolds in a unit sphere.