New Calabi-Yau Metrics of Taub-NUT Type on C^{N+1}
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866917194787454976 |
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| author | Ma, Tengfei |
| author_facet | Ma, Tengfei |
| contents | We construct a class of complete non-flat Calabi-Yau metrics on C^{N+1} for every N >= 3, which generalize the Taub-NUT metrics from C^2 and C^3 and whose tangent cone at infinity is R^N. The construction relies on the generalized Gibbons-Hawking ansatz. A key obstacle is that the volume-form defect of the ansatz fails to decay near certain components of the discriminant locus, producing singularities more severe than those encountered in dimension three, we resolve this by a gluing procedure. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_06756 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | New Calabi-Yau Metrics of Taub-NUT Type on C^{N+1} Ma, Tengfei Differential Geometry Analysis of PDEs We construct a class of complete non-flat Calabi-Yau metrics on C^{N+1} for every N >= 3, which generalize the Taub-NUT metrics from C^2 and C^3 and whose tangent cone at infinity is R^N. The construction relies on the generalized Gibbons-Hawking ansatz. A key obstacle is that the volume-form defect of the ansatz fails to decay near certain components of the discriminant locus, producing singularities more severe than those encountered in dimension three, we resolve this by a gluing procedure. |
| title | New Calabi-Yau Metrics of Taub-NUT Type on C^{N+1} |
| topic | Differential Geometry Analysis of PDEs |
| url | https://arxiv.org/abs/2601.06756 |