A note on compact solvmanifolds with Kähler structures
Hasegawa, Keizo
Osaka J. Math., Tome 43 (2006) no. 2, p. 131-135 / Harvested from Project Euclid
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In this note we show that a compact solvmanifold admits a Kähler structure if and only if it is a finite quotient of a complex torus which has a structure of a complex torus bundle over a complex torus. We can show in particular that a compact solvmanifold of completely solvable type has a Kähler structure if and only if it is a complex torus, which is known as the Benson-Gordon's conjecture.
Publié le : 2006-03-15
Classification:  32Q15,  32M10,  53C30,  53D05 
@article{1146242998,
     author = {Hasegawa, Keizo},
     title = {A note on compact solvmanifolds with K\"ahler structures},
     journal = {Osaka J. Math.},
     volume = {43},
     number = {2},
     year = {2006},
     pages = { 131-135},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1146242998}
}

Hasegawa, Keizo. A note on compact solvmanifolds with Kähler structures. Osaka J. Math., Tome 43 (2006) no. 2, pp.  131-135. http://gdmltest.u-ga.fr/item/1146242998/