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math.DG2022
Almost complex structures, transverse complex structures, and transverse Dolbeault cohomology
Michel Cahen, Jean Gutt, Simone Gutt
We define a transverse Dolbeault cohomology associated to any almost complex structure on a smooth manifold . This we do by extending the notion of transverse complex struct…
math.DG2022★ 1 cited
Some pseudo-Kähler Einstein -symmetric spaces with a "twin" special almost complex structure
Michel Cahen, Simone Gutt, Manar Hayyani +1
On -symmetric symplectic spaces, invariant almost complex structures -- up to sign -- arise in pairs. We exhibit some -symmetric symplectic spaces, with a pair of "natural" c…