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On the nonexistence of stable minimal submanifolds and the Lawson–Simons conjecture

On the nonexistence of stable minimal submanifolds and the Lawson–Simons conjecture

Let $\, \overline {\! M}$ be a compact Riemannian manifold with sectional curvature $K_{\, \overline {\! M}}$ satisfying $1/5< K_{\, \overline {\! M}}\le 1$ (resp. $2\le K_{\, \overline {\! M}}<10$), which can be isometrically immersed as a hypersurface