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

页码：175 / 185

页数：11

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