On the Riemannian geometry of the nilpotent groups 𝐻(𝑝,𝑟)

Piu, Paola; Goze, Michel

doi:10.1090/S0002-9939-1993-1189548-9

On the Riemannian geometry of the nilpotent groups

Authors: Paola Piu and Michel Goze
Journal: Proc. Amer. Math. Soc. 119 (1993), 611-619
MSC: Primary 53C30; Secondary 22E25
DOI: https://doi.org/10.1090/S0002-9939-1993-1189548-9
MathSciNet review: 1189548
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Abstract: We study some aspect of the left-invariant Riemannian geometry on a class of nilpotent Lie groups that generalize the Heisenberg group ${H_{2p + 1}}$ . Let us prove that the groups of type (or Kaplan's spaces) and the groups have same common Riemannian properties but they are not the same spaces.

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