Balanced and pluriclosed metrics on real semisimple Lie groups
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866913067579736064 |
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| author | Kwong, Joseph |
| author_facet | Kwong, Joseph |
| contents | We characterise the existence of balanced and pluriclosed metrics on compact quotients of real semisimple Lie groups equipped with regular complex structures, in terms of Vogan diagrams. Consequently, such complex manifolds cannot simultaneously admit a balanced metric and a pluriclosed metric. Along the way, we revisit and correct the classification of regular complex structures on real semisimple Lie groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_25239 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Balanced and pluriclosed metrics on real semisimple Lie groups Kwong, Joseph Differential Geometry 53C55 (Primary) 22E46, 17B20, 17B22 (Secondary) We characterise the existence of balanced and pluriclosed metrics on compact quotients of real semisimple Lie groups equipped with regular complex structures, in terms of Vogan diagrams. Consequently, such complex manifolds cannot simultaneously admit a balanced metric and a pluriclosed metric. Along the way, we revisit and correct the classification of regular complex structures on real semisimple Lie groups. |
| title | Balanced and pluriclosed metrics on real semisimple Lie groups |
| topic | Differential Geometry 53C55 (Primary) 22E46, 17B20, 17B22 (Secondary) |
| url | https://arxiv.org/abs/2604.25239 |