A proof of the Alexanderov's uniqueness theorem for convex surfaces in $\mathbb R^3$
Analysis of PDEs
2013-05-02 v1
Abstract
We give a new proof of a classical uniqueness theorem of Alexandrov using the weak uniqueness continuation theorem of Bers-Nirenberg. 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.
Keywords
Cite
@article{arxiv.1305.0077,
title = {A proof of the Alexanderov's uniqueness theorem for convex surfaces in $\mathbb R^3$},
author = {Pengfei Guan and Zhizhang Wang and Xiangwen Zhang},
journal= {arXiv preprint arXiv:1305.0077},
year = {2013}
}