Given a closed hypersurface $\Sigma^{n-1}$ in $\mathbb{R}^n$. If the second fundamental form $II\geq 1$, then does $\Sigma$ lies within a ball of radius 1?
Any references will be appreciated. Thanks!
2026-03-26 02:34:51.1774492491
Bounds on radius given positive second fundamental form
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