The Rigidity of Hypersurfaces in Euclidean Space

Chunhe Li; Yanyan Xu

doi:10.1007/s11401-019-0143-7

Chinese Annals of Mathematics, Series B ›› 2019, Vol. 40 ›› Issue (3) : 439 -456. DOI: 10.1007/s11401-019-0143-7

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The Rigidity of Hypersurfaces in Euclidean Space

Chunhe Li ¹^,^a
, Yanyan Xu ¹^,^b

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Abstract

In the present paper, the rigidity of hypersurfaces in Euclidean space is revisited. The Darboux equation is highlighted and two new proofs of the rigidity are given via energy method and maximal principle, respectively.

Keywords

Global rigidity / Infinitesimal rigidity / Energy method / Maximal principle

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Chunhe Li,Yanyan Xu. The Rigidity of Hypersurfaces in Euclidean Space. Chinese Annals of Mathematics, Series B, 2019, 40(3): 439-456 DOI:10.1007/s11401-019-0143-7