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| The Rigidity of Hypersurfaces in Euclidean Space |
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Citation： |
Chunhe LI,Yanyan XU.The Rigidity of Hypersurfaces in Euclidean Space[J].Chinese Annals of Mathematics B,2019,40(3):439~456 |
| Page view： 868
Net amount： 642 |
Authors： |
Chunhe LI; Yanyan XU |
Foundation： |
This work was supported by the National Natural Science
Foundation of China (No.11871160) and the Fundamental Research
Funds for the Central Universities of China (No.ZYGX2016J135). |
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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, Maximalprinciple |
Classification： |
53C24, 53C45 |
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