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arXiv 2013-06-07 0 views

A Rigidity Theorem for Hypersurfaces in Higher Dimensional Space Forms

Guan, Pengfei · Shen, Xi Sisi

Original · EN

The classical Cohn-Vossen theorem states that two isometric compact convex surfaces in R³ are congruent. In this short note, we generalize the classical Cohn-Vossen Theorem to higher dimensional surfaces in space form Nⁿ⁺¹(K) for n≥ 2.

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