On class A Lorentzian 2-tori with poles II: Foliations by timelike lines
On class A Lorentzian 2-tori with poles II: Foliations by timelike lines
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A 级洛伦兹 2 环带杆 II:仿时线的叶状结构
DOI:
10.1016/j.difgeo.2019.03.002
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发表时间:
2018-11
影响因子:
0.5
通讯作者:
Cui Xiaojun
中科院分区:
文献类型:
--
作者:
Jin Liang;Peng Lu;Cui Xiaojun
In this paper, we show that if (T 2, g) is a class A Lorentzian 2-torus with timelike poles, then there exists a Lipschitz foliation by complete future-directed timelike geodesics with any pre-assigned asymptotic direction in the interior of the stable time cone. This is done by constructing certain C 1, 1 solutions to the equation g (∇ u,∇ u)=− 1 on the Abelian cover (R 2, g).
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