Geodesic
Equivariant Almost Complex Structures on Quasitoric Manifolds
Informatics and Automation, Geometry, topology, and mathematical physics. II, Tome 266 (2009), pp. 140-148

Voir la notice de l'article provenant de la source Math-Net.Ru

It is proved that there exists an equivariant almost complex structure on any quasitoric manifold that admits a positive omniorientation. This gives an answer to the question raised by M. Davis and T. Januszkiewicz: Find a criterion for the existence of an equivariant almost complex structure on a quasitoric manifold in terms of its characteristic function. 
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     author = {A. A. Kustarev},
     title = {Equivariant {Almost} {Complex} {Structures} on {Quasitoric} {Manifolds}},
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A. A. Kustarev. Equivariant Almost Complex Structures on Quasitoric Manifolds. Informatics and Automation, Geometry, topology, and mathematical physics. II, Tome 266 (2009), pp. 140-148. http://geodesic.mathdoc.fr/item/TRSPY_2009_266_a7/