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arXiv · 1310.6081

Rigidity of time-flat surfaces in the Minkowski spacetime

Po-Ning Chen·Mu-Tao Wang·Ye-Kai Wang
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Abstract

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.

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Po-Ning Chen, Mu-Tao Wang, Ye-Kai Wang. 2014-08-21. Rigidity of time-flat surfaces in the Minkowski spacetime. https://arxiv.org/abs/1310.6081

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