The classical Cohn-Vossen theorem states that two isometric compact convexsurfaces in $\mathbb{R}^{3}$ are congruent. In this short note, we generalizethe classical Cohn-Vossen Theorem to higher dimensional surfaces in space form$N^{n+1}(K)$ for $n\ge 2$.
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机译：经典的Cohn-Vossen定理指出$ \ mathbb {R} ^ {3} $中的两个等距紧致凸曲面是一致的。在本文中，我们将经典的Cohn-Vossen定理推广到$ n \ ge 2 $的空间形式$ N ^ {n + 1}（K）$的高维表面。
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