Beltrami algebra and symmetry of the Beltrami equation on Riemann surfaces

Beltrami algebra and symmetry of the Beltrami equation on Riemann surfaces
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DOI:
10.1063/1.528999
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发表时间:
1990-11
影响因子:
1.3
通讯作者:
Han-Ying Guo;Jian-min Shen;Shi-kun Wang;Kai-Wen Xu
Han-Ying Guo;Jian-min Shen;Shi-kun Wang;Kai-Wen Xu
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
Han-Ying Guo;Jian-min Shen;Shi-kun Wang;Kai-Wen Xu

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证明了贝尔特拉米方程在其解空间上具有无穷维对称性,即贝尔特拉米代数。明确地找到了具有中心扩张的Beltrami代数及其超对称形式。
It is shown that the Beltrami equation has an infinite‐dimensional symmetry, namely the Beltrami algebra, on its solution spaces. The Beltrami algebra with central extension and its supersymmetric version are explicitly found.