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Rigidity of time-flat surfaces in the Minkowski spacetime

Po-Ning Chen Columbia University Mu-Tao Wang Columbia University Ye-Kai Wang Columbia University

Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:1608.10022

2013.10
A time-flat condition on spacelike 2-surfaces in spacetime is considered here. This condition is analogous to constant torsion condition for curves in three dimensional space and has been studied in [2, 4, 5, 12, 13]. In particular, any 2-surface in a static slice of a static spacetime is time-flat. In this article, we address the question in the title and prove several local and global rigidity theorems for such surfaces in the Minkowski spacetime.
time-flat surfaces, Minkowski spacetime
[ Download ] [ 2016-08-20 15:37:02 uploaded by mutaowang ] [ 1482 downloads ] [ 0 comments ] [ Cited by 2 ] 
@inproceedings{po-ning2013rigidity,
  title={Rigidity of time-flat surfaces in the Minkowski spacetime},
  author={Po-Ning Chen, Mu-Tao Wang, and Ye-Kai Wang},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160820153702835372326},
  year={2013},
}
Po-Ning Chen, Mu-Tao Wang, and Ye-Kai Wang. Rigidity of time-flat surfaces in the Minkowski spacetime. 2013. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160820153702835372326.
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