Futaki invariant on Hopf manifolds
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866909597778837504 |
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| author | Perri, Giacomo |
| author_facet | Perri, Giacomo |
| contents | The Futaki invariant is a fundamental tool in Kähler geometry representing an obstruction to the existence of Kähler-Einstein metrics. Recently, it was generalized to compact complex manifolds. In this paper, we prove that it vanishes on Hopf manifolds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_21672 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Futaki invariant on Hopf manifolds Perri, Giacomo Differential Geometry The Futaki invariant is a fundamental tool in Kähler geometry representing an obstruction to the existence of Kähler-Einstein metrics. Recently, it was generalized to compact complex manifolds. In this paper, we prove that it vanishes on Hopf manifolds. |
| title | Futaki invariant on Hopf manifolds |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2504.21672 |