Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2022
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2201.07295 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866914000061595648 |
|---|---|
| author | Lye, Jørgen Olsen |
| author_facet | Lye, Jørgen Olsen |
| contents | This article takes a detailed look at the Ricci-flat metrics introduced by Eguchi-Hanson and Calabi on the canonical line bundle of complex projective space. We give a description of these spaces as resolutions of certain orbifold singularities. We then compute the curvature explicitly and show that all compact, minimal submanifolds are contained in the zero section. This extends a result by Tsai and Wang. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2201_07295 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | A detailed look at the Calabi-Eguchi-Hanson spaces Lye, Jørgen Olsen Differential Geometry 32Q25, 53C42, 53C25 This article takes a detailed look at the Ricci-flat metrics introduced by Eguchi-Hanson and Calabi on the canonical line bundle of complex projective space. We give a description of these spaces as resolutions of certain orbifold singularities. We then compute the curvature explicitly and show that all compact, minimal submanifolds are contained in the zero section. This extends a result by Tsai and Wang. |
| title | A detailed look at the Calabi-Eguchi-Hanson spaces |
| topic | Differential Geometry 32Q25, 53C42, 53C25 |
| url | https://arxiv.org/abs/2201.07295 |