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 Kähler 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-Kähler.
On strong Kähler and astheno-Kähler metrics on nilmanifolds
ROSSI, FEDERICO ALBERTO;
2012
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 Kähler 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-Kähler.File in questo prodotto:
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