This article is cited in 7 papers

Equivariant Almost Complex Structures on Quasitoric Manifolds

A. A. Kustarev

Moscow State University, Moscow, Russia

Abstract: 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.

UDC: 515.165.2

Received in March 2009

 English version: Proceedings of the Steklov Institute of Mathematics, 2009, 266, 133–141

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