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

Authors: Paola Piu and Michel Goze
Journal: Proc. Amer. Math. Soc. 119 (1993), 611-619
MSC: Primary 53C30; Secondary 22E25
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 $ H(p,r)$ that generalize the Heisenberg group $ {H_{2p + 1}}$. Let us prove that the groups of type $ H$ (or Kaplan's spaces) and the $ H(p,r)$ groups have same common Riemannian properties but they are not the same spaces.

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Article copyright: © Copyright 1993 American Mathematical Society

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