Partial integrability of almost complex structures on Thurston manifolds
Volume 118 / 2016
Annales Polonici Mathematici 118 (2016), 141-148
MSC: Primary 32Q60; Secondary 22E30, 53D05.
DOI: 10.4064/ap4046-11-2016
Published online: 9 December 2016
Abstract
We prove that any left-invariant symplectic almost complex structure on a Thurston manifold which is compatible with its canonical left-invariant Riemannian metric has holomorphic type $1$.