Geodesics in Heisenberg groups

被引：17
|
作者：
Marenich, V [1 ]
机构：
[1] UNICAMP,IMECC,BR-13081970 CAMPINAS,SP,BRAZIL
来源：
GEOMETRIAE DEDICATA | 1997年 / 66卷 / 02期
关键词：
Heisenberg group; geodesic line; ideal boundary;
D O I：
10.1023/A:1004916117293
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We obtain equations of geodesic lines in Heisenberg groups H(2n+1)and prove that the ideal boundary of the Heisenberg group H2n+1 is a sphere S2n-1 with a natural CR-structure and corresponding Carnot-Caratheodory metric, i.e. it is a one-point compactification of the Heisenberg group H2n-1 of the next dimension in a row.
引用
收藏
页码：175 / 185
页数：11
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