Abstract
Let $M^n$ be a compact submanifold of $S^{n+p}(c)$ with constant scalar curvature. In this paper, we prove that if the squared norm $S$ of the second fundamental form satisfies a certain inequality, then $M^n$ is a totally umbilic or eqality holds and we described all $M^n$ that satisfy this equality.
Citation
Jintang Li. "Submanifolds with constant scalar curvature." Kodai Math. J. 27 (3) 206 - 213, October 2004. https://doi.org/10.2996/kmj/1104247346
Information
