Let M be an 8-dimensional nilmanifold. We give a classification of the left-invariant complex structures J on M for which every invariant compatible metric g is strong Kahler with torsion. The family of such complex structures on 8-dimensional nilmanifolds turns out to be the same as that one of complex structures such that every invariant compatible metric g is astheno-Kahler.
On strong Kähler and Astheno-Kähler metrics on nilmanifolds / F. A., Rossi; Tomassini, Adriano. - In: ADVANCES IN GEOMETRY. - ISSN 1615-715X. - 12:3(2012), pp. 431-446. [10.1515/advgeom-2011-057]
On strong Kähler and Astheno-Kähler metrics on nilmanifolds
TOMASSINI, Adriano
2012-01-01
Abstract
Let M be an 8-dimensional nilmanifold. We give a classification of the left-invariant complex structures J on M for which every invariant compatible metric g is strong Kahler with torsion. The family of such complex structures on 8-dimensional nilmanifolds turns out to be the same as that one of complex structures such that every invariant compatible metric g is astheno-Kahler.File in questo prodotto:
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