关于自CPG曲线和Björling问题
On the self-CPG curves and the Björling problem
摘要：
Schwartz的解决方案的Björling问题导致一个等价类的空间条S（t）=（c（t），n（t））产生等价的极小曲面。对于生成带S（t）属于某个平面E且c（t）关于E中某条直线对称的特殊情况，极小曲面的对称性允许我们识别另一条平面曲线~c（t），我们称之为c（t）的CPG曲线。一个简单的对称论证表明，self-CPG曲线产生极小曲面，其伴随曲面包含另一个self-CPG曲线。我们要求由自共轭CPG曲线生成的极小曲面是自共轭的。
英文摘要：
Schwartz's solution to the Björling problem leads to an equivalence class of spatial strips S(t)=(c(t),n(t)) which produce equivalent minimal surfaces. For the particular case when the generating strip S(t) belongs to some plane E and c(t) is symmetric with respect to some straight line in E, the symmetries of the minimal surface permit us to identify another planar curve ~c(t) that we call the CPG curve to c(t). A simple symmetric argument shows that self-CPG curves produce minimal surfaces whose adjoint surface contains another self-CPG curve. We ask for minimal surfaces generated by self-CPG curves which are self-adjoints.
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