| Title:
|
Four-dimensional Einstein metrics from biconformal deformations (English) |
| Author:
|
Baird, Paul |
| Author:
|
Ventura, Jade |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
57 |
| Issue:
|
5 |
| Year:
|
2021 |
| Pages:
|
255-283 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Biconformal deformations take place in the presence of a conformal foliation, deforming by different factors tangent to and orthogonal to the foliation. Four-manifolds endowed with a conformal foliation by surfaces present a natural context to put into effect this process. We develop the tools to calculate the transformation of the Ricci curvature under such deformations and apply our method to construct Einstein $4$-manifolds. Examples of one particular family have ends which collapse asymptotically to $\mathbb{R}^2$. (English) |
| Keyword:
|
Einstein manifold |
| Keyword:
|
conformal foliation |
| Keyword:
|
semi-conformal map |
| Keyword:
|
biconformal deformation |
| MSC:
|
53C12 |
| MSC:
|
53C18 |
| MSC:
|
53C25 |
| idZBL:
|
Zbl 07442414 |
| idMR:
|
MR4346113 |
| DOI:
|
10.5817/AM2021-5-255 |
| . |
| Date available:
|
2021-10-06T08:57:36Z |
| Last updated:
|
2022-02-24 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/149132 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| . |
