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Invariant Generalized Complex Structures on Partial Flag Manifolds (1910.04598v1)
Published 10 Oct 2019 in math.DG
Abstract: The aim of this paper is to classify all invariant generalized complex structure on a partial flag manifold $\mathbb{F}\Theta$ with at most four isotropy summands. To classify them all we proved that an invariant generalized almost complex structure on $\mathbb{F}\Theta$ is `constant' in each component of the isotropy representation.
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