Scholarlink

In this chapter, we consider metrics on nilpotent Lie groups. In Sect. 10.1, we consider Carnot-Carathéodory metrics. In Sect. 10.2, we complete the description of isometrically homogeneous spaces with dilations, which we started in Sect. 6.5 . In Sect. 10.3, we briefly mention results on the isometry group of nilpotent Lie groups. In Sect. 10.4, we discuss seminorms on nilpotent Lie groups and show some preliminary results useful for then obtaining Pansu Asymptotic Theorem in Sect. 12.4 .

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Metrics on Nilpotent Groups

  • 章节

  • 出版模式：

    开放获取

  • 发表日期：

    2025年

查看全文
  • Enrico Le Donne

摘要

In this chapter, we consider metrics on nilpotent Lie groups. In Sect. 10.1, we consider Carnot-Carathéodory metrics. In Sect. 10.2, we complete the description of isometrically homogeneous spaces with dilations, which we started in Sect. 6.5 . In Sect. 10.3, we briefly mention results on the isometry group of nilpotent Lie groups. In Sect. 10.4, we discuss seminorms on nilpotent Lie groups and show some preliminary results useful for then obtaining Pansu Asymptotic Theorem in Sect. 12.4 .