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In Chap. 14 , we will show that to every Riemannian symmetric space, one can associate a ‘visual boundary’ that has the structure of a Carnot group. In this chapter, we review the classical notion of symmetric space. We will see that each rank-one symmetric space of noncompact type has the structure of a metric Lie group.

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Rank-One Symmetric Spaces

  • 章节

  • 出版模式：

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  • 发表日期：

    2025年

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  • Enrico Le Donne

摘要

In Chap. 14 , we will show that to every Riemannian symmetric space, one can associate a ‘visual boundary’ that has the structure of a Carnot group. In this chapter, we review the classical notion of symmetric space. We will see that each rank-one symmetric space of noncompact type has the structure of a metric Lie group.