Article ID Journal Published Year Pages File Type
4606193 Differential Geometry and its Applications 2011 8 Pages PDF
Abstract

We prove that any invariant hyper-complex structure on a homogeneous space M=G/LM=G/L where G is a compact Lie group is obtained via the Joyceʼs construction, provided that there exists a hyper-Hermitian naturally reductive invariant metric on M.

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Physical Sciences and Engineering Mathematics Analysis
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Homogeneous hyper-complex structures and the Joyceʼs construction
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