Non-invariant deformations of left-invariant complex structures on compact Lie groups
Differential Geometry
2022-04-06 v2 Complex Variables
Representation Theory
Abstract
We consider deformations of left-invariant complex structures on simply connected semisimple compact Lie groups which are a priori non-invariant. Computing their cohomologies, we show that they are not actually biholomorphic to left-invariant (right-invariant) complex structures.
Keywords
Cite
@article{arxiv.2004.02523,
title = {Non-invariant deformations of left-invariant complex structures on compact Lie groups},
author = {Hiroaki Ishida and Hisashi Kasuya},
journal= {arXiv preprint arXiv:2004.02523},
year = {2022}
}
Comments
To appear in Forum Mathematicum