Some relations between complex structures on compact nilmanifolds and flag manifolds (Q2073413)

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scientific article; zbMATH DE number 7468336
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Some relations between complex structures on compact nilmanifolds and flag manifolds
scientific article; zbMATH DE number 7468336

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    Some relations between complex structures on compact nilmanifolds and flag manifolds (English)
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    2 February 2022
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    Given a flag manifold \(M\), the author considers relations between signatures of pseudo-Kähler metrics on \(M\) and complex structures on a nilpotent Lie algebra that corresponds to \(M\). On this corresponding nilpotent Lie algebra, the author also considers some complex structures which do not correspond to invariant complex structures on \(M\).
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    complex structure
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    nilmanifold
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    root system
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