Franz, Giada;
Trinca, Federico;
(2023)
On the Stability of Minimal Submanifolds in Conformal Spheres.
The Journal of Geometric Analysis
, 33
(10)
, Article 335. 10.1007/s12220-023-01398-4.
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Abstract
Given an n-dimensional Riemannian sphere conformal to the round one and δ-pinched, we show that it does not contain any closed stable minimal submanifold of dimension 2 ≤ k ≤ n − δ−1.
| Type: | Article |
|---|---|
| Title: | On the Stability of Minimal Submanifolds in Conformal Spheres |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1007/s12220-023-01398-4 |
| Publisher version: | https://doi.org/10.1007/s12220-023-01398-4 |
| Language: | English |
| Additional information: | This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/. |
| Keywords: | Minimal submanifolds, Stability, Morse index, Conformal geometry |
| 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/10180545 |
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