Small deformations and non-left-invariant complex structures on a compact solvmanifold
نویسنده
چکیده
we observed in our previous paper that all the complex structures on four-dimensional compact solvmanifolds are left-invariant. The main purpose of this note is to give an example of a six-dimensional compact solvmanifold which admits a continuous family of non-leftinvariant complex structures. We also determine all three-dimensional compact complex-homogeneous pseudo-Kähler solvmanifolds.
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