
doi: 10.1093/qmath/has006
handle: 11583/2496000
We compute the automorphism group of the complex three-dimensional Heisenberg Lie algebra and study its action (by isometries) on the set of inner products of R6. As a consequence, we give a description of the moduli space of invariant metrics on the Iwasawa manifold. We also show that the action mentioned above is not polar and has a minimal orbit
left invariant metric; Iwasawa manifold; automorphism group; Heisenberg group
left invariant metric; Iwasawa manifold; automorphism group; Heisenberg group
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