Stable minimal cones in ℝ8 and ℝ9 with constant scalar curvature

In this paper we prove that if M ⊏ ℝn , n = 8 or n = 9, is a n - 1 dimensional stable minimal complete cone such that its scalar curvature varies radially, then M must be either a hyperplane or a Clifford minimal cone. By Gauss' formula, the condition on the scalar curvature is equivalent to t...