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math.DG2010
Weakly complex inner symmetric spaces
Andrei Moroianu, Uwe Semmelmann
We prove that the tangent bundle of an inner symmetric space of compact type is weakly complex if and only if is a Riemannian product , each b…
math.DG2010★ 6 cited
Almost complex structures on quaternion-Kähler manifolds and inner symmetric spaces
Paul Gauduchon, Andrei Moroianu, Uwe Semmelmann
We prove that compact quaternionic-Kähler manifolds of positive scalar curvature admit no almost complex structure, even in the weak sense, except for the complex Grassmannians $Gr…