Classification of non-CSC extremal Kähler metrics on K-surfaces $S^2_{\{α\}}$ and $S^2_{\{α,β\}}$
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909249663139840 |
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| author | Meng, Yingjie Wei, Zhiqiang |
| author_facet | Meng, Yingjie Wei, Zhiqiang |
| contents | We commonly refer to an extremal Kähler metric with finitely many singularities on a compact
Riemann surface as an HCMU (Hessian of the Curvature of the Metric is Umbilical) metric. In this study, we specifically classify non-CSC HCMU metrics on the K-surfaces $S^2_{\{α\}}$ and $S^2_{\{α,β\}}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_07537 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Classification of non-CSC extremal Kähler metrics on K-surfaces $S^2_{\{α\}}$ and $S^2_{\{α,β\}}$ Meng, Yingjie Wei, Zhiqiang Differential Geometry We commonly refer to an extremal Kähler metric with finitely many singularities on a compact Riemann surface as an HCMU (Hessian of the Curvature of the Metric is Umbilical) metric. In this study, we specifically classify non-CSC HCMU metrics on the K-surfaces $S^2_{\{α\}}$ and $S^2_{\{α,β\}}$. |
| title | Classification of non-CSC extremal Kähler metrics on K-surfaces $S^2_{\{α\}}$ and $S^2_{\{α,β\}}$ |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2407.07537 |