Entite zero-mean curvature graphs of mixed type in Lorents-Minkowski 3-space
Entite zero-mean curvature graphs of mixed type in Lorents-Minkowski 3-space
复制标题
Lorents-Minkowski 3-空间中混合型实体零均值曲率图
DOI：
10.1093/qmath/haw038
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发表时间：
2016
期刊：
影响因子：
--
通讯作者：
K. Yamada
中科院分区：
文献类型：
--
作者：
S. Fujimori;Y. Kawakami;M. Kokubu;W. Rossman;M. Umehara;K. Yamada
It is classically known that the only entire zero-mean curvature graphs in the Euclidean 3-space are planes, by Bernstein's theorem. A surface in Lorentz–Minkowski 3-space R13 is called ofmixed typeif it changes causal type from space-like to time-like. In R13, Osamu Kobayashi found two entire zero-mean curvature graphs of mixed type that are not planes. As far as the authors know, these two examples were the only known examples of entire zero-mean curvature graphs of mixed type without singularities. In this paper, we construct several families of real analytic entire zero-mean curvature graphs of mixed type in Lorentz–Minkowski 3-space. The entire graphs mentioned above lie in one of these classes.
