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.
Rossi, F., Tomassini, A. (2012). On strong Kähler and astheno-Kähler metrics on nilmanifolds. ADVANCES IN GEOMETRY, 12(3), 431-446 [10.1515/advgeom-2011-057].
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:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
