Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

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
DOI: https://doi.org/10.1090/S0002-9939-1993-1189548-9
MathSciNet review: 1189548
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 53C30, 22E25

Retrieve articles in all journals with MSC: 53C30, 22E25


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1993-1189548-9
Article copyright: © Copyright 1993 American Mathematical Society