Suppose $M$ is a minimal submanifod in $\mathbb{R}^{n+1}$, by Gauss equation we have $$\operatorname{Ric}_M\geq -\|A\|^2$$.
I have done similar calculations for surface in $\mathbb{R}^3$. But it seems different, and here codimension is bigger than 1, I am kinda stuck. If anyone is familar with this calculation, could you show me some details?