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A proof of Alexandrov's uniqueness theorem for convex surfaces in R3

Pengfei Guan Zhizhang Wang Xiangwen Zhang

Differential Geometry mathscidoc:1912.431034

Annales de l'Institut Henri Poincare (C) Non Linear Analysis, 33, (2), 329-336, 2016.3
We give a new proof of a classical uniqueness theorem of Alexandrov [4] using the weak uniqueness continuation theorem of BersNirenberg [8]. We prove a version of this theorem with the minimal regularity assumption: the spherical Hessians of the corresponding convex bodies as Radon measures are nonsingular.
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@inproceedings{pengfei2016a,
  title={A proof of Alexandrov's uniqueness theorem for convex surfaces in R3},
  author={Pengfei Guan, Zhizhang Wang, and Xiangwen Zhang},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224211348559050598},
  booktitle={Annales de l'Institut Henri Poincare (C) Non Linear Analysis},
  volume={33},
  number={2},
  pages={329-336},
  year={2016},
}
Pengfei Guan, Zhizhang Wang, and Xiangwen Zhang. A proof of Alexandrov's uniqueness theorem for convex surfaces in R3. 2016. Vol. 33. In Annales de l'Institut Henri Poincare (C) Non Linear Analysis. pp.329-336. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224211348559050598.
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