Abstract
In this paper, we first consider relations between signatures of pseudo- Kähler metrics on a flag manifold and complex structures on a nilpotent Lie algebra corresponding to the flag manifold. On the nilpotent Lie algebra, we also consider complex structures which do not correspond to invariant complex structures on the flag manifold.
Funding Statement
The author is supported by JSPS KAKENHI Grant Number
JP20K03586.
Acknowledgement
The author would like to express his deep appreciation to Professor Yusuke Sakane for valuable advice and encouragement during his preparation of the paper.
Citation
Takumi Yamada. "Some relations between complex structures on compact nilmanifolds and flag manifolds." Hiroshima Math. J. 51 (3) 227 - 246, November 2021. https://doi.org/10.32917/h2020027
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