Classification des métriques invariantes à gauche sur le groupe de Heisenberg

GOZE MICHEL;PIU, MARIA PAOLA

1990-01-01

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Abstract

We give the classification, up to automorphisms, of the left invariant metrics on the Heisenberg group. We determine the Riemannian curvature tensor, the Killing vector fields for these metrics and the minimal codimension of the totaly geodesic submanifolds.