Homogeneous hyper-complex structures and the Joyce's construction

作者：Bedulli Lucio; Gori Anna; Podesta Fabio^*

来源：Differential Geometry and its Applications, 2011, 29(4): 547-554.

DOI：10.1016/j.difgeo.2011.04.033

• Hyper-complex structures
• Homogeneous spaces
• Hyper-Kahler with torsion

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

• 出版日期2011-8