Curvature estimates for minimal submanifolds of higher codimension and small G-rank

J. Jost, Y. L. Xin, Ling Yang

We obtain new curvature estimates and Bernstein type results for minimal $n-$submanifolds in $\ir{n+m},\, m\ge 2$ under the condition that the rank of its Gauss map is at most 2. I…