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Geometric structures on complex manifolds
October 3, 2011 10:20, Moscow
 


Almost complex structures on quaternion-Kaehler manifolds

Paul Gauduchon

Ècole Polytechnique
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Paul Gauduchon


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Abstract: The aim of this lecture is to show that, apart from the complex Grassmannians $Gr_2(C^{n+2})$, the compact quaternionic quaternion-Kaehler manifolds of positive type admit no almost complex structure, even in the weak sense (joint work with Andrei Moroianu and Uwe Semmelmann).

Language: English

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