$O(n)\times O(m)$-invariant hypersurfaces with constant mean curvature in Euclidean space

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2025年8月11日

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Eduardo Rodríguez-Romero,
Josué Meléndez

摘要

We prove some estimates for the infimum and supremum of the squared norm of the second fundamental form of $O(n)\times O(m)$ $O (n) \times O (m)$ -invariant hypersurfaces in $\mathbb {R}^{n+m}$ $R^{n + m}$ with constant mean curvature $H>0$ $H > 0$ .

\(O(n)\times O(m)\)-invariant hypersurfaces with constant mean curvature in Euclidean space

摘要