Polar Transform of Spacelike Isothermic Surfaces in 4-Dimensional Lorentzian Space Forms
Polar Transform of Spacelike Isothermic Surfaces in 4-Dimensional Lorentzian Space Forms
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DOI：
10.1007/s00025-008-0317-1
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发表时间：
2008-07
影响因子：
2.2
通讯作者：
Xiang Ma;Pengfu Wang
中科院分区：
文献类型：
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作者：
Xiang Ma;Pengfu Wang
作者在以前的论文中研究了四维洛伦兹空间形式中类空曲面的共形几何，其中引入了所谓的极坐标变换。在这里，它表明，这种变换保持类空共形等温曲面。通过建立置换定理，我们将这种新变换与等温曲面的已知变换（达布变换和谱变换）联系起来。
The conformal geometry of spacelike surfaces in 4-dim Lorentzian space forms has been studied by the authors in a previous paper, where the so-called polar transform was introduced. Here it is shown that this transform preserves spacelike conformal isothermic surfaces. We relate this new transform with the known transforms (Darboux transform and spectral transform) of isothermic surfaces by establishing the permutability theorems.