Trinca, Federico;
(2022)
Barrier methods for minimal submanifolds in the Gibbons-Hawking ansatz.
The New York Journal of Mathematics
, 28
pp. 835-867.
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Abstract
We describe a barrier argument for compact minimal submanifolds in the multi-Eguchi-Hanson and in the multi-Taub-NUT spaces, which are hyperkähler 4-manifolds given by the Gibbons-Hawking ansatz. This approach is used to obtain results towards a classification of compact minimal submanifolds in this setting. We also prove a converse of Tsai and Wang's result that relates the strong stability condition to the convexity of the distance function.
| Type: | Article |
|---|---|
| Title: | Barrier methods for minimal submanifolds in the Gibbons-Hawking ansatz |
| Open access status: | An open access version is available from UCL Discovery |
| Publisher version: | https://nyjm.albany.edu/j/2022/28-34.html |
| Language: | English |
| Additional information: | This work is licensed under a Creative Commons Attribution 4.0 International (CC BY 4.0) License. |
| Keywords: | Minimal Submanifolds, Gibbons-Hawking ansatz, Hyperkahler manifolds, Barrier Methods |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery-pp.ucl.ac.uk/id/eprint/10180543 |
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