Mixed type surfaces with bounded mean curvature in 3-dimensional space-times
Mixed type surfaces with bounded mean curvature in 3-dimensional space-times
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3 维时空中具有有界平均曲率的混合型曲面
DOI：
10.1016/j.difgeo.2017.03.009
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发表时间：
2017
期刊：
影响因子：
--
通讯作者：
M. Umehara and Kotaro Yamada
中科院分区：
文献类型：
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作者：
A. Honda;M. Koiso;M. Kokubu;M. Umehara and Kotaro Yamada
本文证明了实解析洛伦兹三维流形中具有有界平均曲率函数的类空曲面只有当平均曲率函数趋于零时，才能将它们的因果性转化为类时曲面。此外，我们将证明这种具有非零中曲率的曲面的存在性，并研究它们的性质。
In this paper, we shall prove that space-like surfaces with bounded mean curvature functions in real analytic Lorentzian 3-manifolds can change their causality to time-like surfaces only if the mean curvature functions tend to zero. Moreover, we shall show the existence of such surfaces with non-vanishing mean curvature and investigate their properties.