Blaschke's problem for timelike surfaces in pseudo-Riemannian space forms
Blaschke's problem for timelike surfaces in pseudo-Riemannian space forms
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DOI：
10.1142/s0219887810004774
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发表时间：
2008-10
影响因子：
1.8
通讯作者：
Pengfu Wang
中科院分区：
文献类型：
--
作者：
Pengfu Wang
我们证明了等温面和S-威尔莫尔面也是伪黎曼空间型中类空面和类时面上相应的Blaschke问题的解。对于Willmore类时曲面和等温类时曲面，我们得到了类似于Thomsen经典结果的极小曲面的刻画。
We show that isothermic surfaces and S-Willmore surfaces are also the solutions to the corresponding Blaschke's problem for both spacelike and timelike surfaces in pseudo-Riemannian space forms. For timelike surfaces both Willmore and isothermic, we obtain a description by minimal surfaces similar to the classical results of Thomsen.