Some properties of complex structures on compact homogenous space G/T
Given a connected simply-connected s-step real nilpotent Lie group G with a left invariant inte-grable almost complex structure J and a lattice T of maximal rank of the Lie group G,the existence of a nilpotent complex structure on the compact homogeneous space G/T is considered.It is shown in this pa-per,through the use of inductive methods,that the complex structure J can induce an integrable complex structure J on the compact homogeneous space G/T,and that J is nilpotent.
connected simply-connected nilpotent Lie groupleft invariant integrable almost complex st-ru-cturenilpotent complex structurecompact homogenous space
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