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In this chapter, we discuss a classical family of sub-Finsler Lie groups: those where the polarization is the entire tangent bundle and the norm comes from a scalar product. We refer to them as Riemannian Lie groups, but a more precise name could be Lie groups equipped with left-invariant Riemannian structures.

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Riemannian Lie Groups

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  • 出版模式：

    开放获取

  • 发表日期：

    2025年

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  • Enrico Le Donne

摘要

In this chapter, we discuss a classical family of sub-Finsler Lie groups: those where the polarization is the entire tangent bundle and the norm comes from a scalar product. We refer to them as Riemannian Lie groups, but a more precise name could be Lie groups equipped with left-invariant Riemannian structures.