Archivio Istituzionale della RicercaWe 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
Invariant metrics on the Iwasawa manifold / DI SCALA, ANTONIO JOSE'. - In: QUARTERLY JOURNAL OF MATHEMATICS. - ISSN 0033-5606. - STAMPA. - 64:2(2013), pp. 555-569. [10.1093/qmath/has006]
Invariant metrics on the Iwasawa manifold
DI SCALA, ANTONIO JOSE'
2013
Abstract
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
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https://hdl.handle.net/11583/2496000
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