Geodesics of left-invariant pseudo-hermitian structures on the three dimensional sphere

被引：0
|
作者：
Jacobowitz H. [1 ]
机构：
[1] Rutgers University, Camden
来源：
Complex Analysis and its Synergies | 2020年 / 6卷 / 2期
关键词：
Geodesics; Left-invariant CR structures; Pseudo-hermitian; Sub-Riemannian; Tanaka–Webster equations;
D O I：
10.1007/s40627-020-00049-6
中图分类号：
学科分类号：
摘要：
The three-dimensional case of the structure equations of Webster are summarized and then used to determine the sub-Riemannian geodesics of the left-invariant CR structures on the group SU(2 , R) = S3. These geodesics are studied in detail for the standard left-invariant CR structure. © 2020, Springer Nature Switzerland AG.
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