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math.CV2016
Partial Integrability of Almost Complex Structures on Thurston Manifolds
Oleg Mushkarov, Christian L. Yankov
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…
math.DG2016
Harmonicity of the Atiyah-Hitchin-Singer and Eells-Salamon almost complex structures
Johann Davidov, Oleg Mushkarov
In this paper we describe the oriented Riemannian four-manifolds for which the Atiyah-Hitchin-Singer or Eells-Salamon almost complex structure on the twistor space ${\mathcal Z…