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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