Geometric analysis on quaternion H-type groups

被引：23

作者：

Chang, DC ^{[1
]}

Markina, I

机构：

[1] Georgetown Univ, Dept Math, Washington, DC 20057 USA

[2] Univ Bergen, Dept Math, N-5008 Bergen, Norway

来源：

JOURNAL OF GEOMETRIC ANALYSIS | 2006年 / 16卷 / 02期

关键词：

D O I：

10.1007/BF02922116

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct some examples of H-types Carnot groups related to quaternion numbers and study their geometric properties. We involve the Hamiltonian formalism to obtain the equations of geodesics and calculate the cardinality of geodesics joining two different points on these groups. We prove Kepler's law and give a nice geometric interpretation of the length of geodesics.

引用

页码：265 / 294

页数：30

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