Une caractérisation Riemannienne du groupe de Heisenberg

GOZE MICHEL;PIU, MARIA PAOLA

1994-01-01

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Abstract

We study the left-invariant Riemannian metrics on a class of models of nilpotent Lie groups. In particular we prove that the Heisenberg groups are, up to local isomorphism, the only nilpotent non-decomposable Lie groups endowed with a homogeneous Riemannian naturally reductive space for every left invariant metric.