On the Stability of Minimal Submanifolds in Conformal Spheres
Abstract Given an n-dimensional Riemannian sphere conformal to the round one and $$\delta $$ δ -pinched, we show that it does not contain any...
| Main Authors: | , |
|---|---|
| Other Authors: | |
| Format: | Article |
| Language: | English |
| Published: |
Springer US
2023
|
| Online Access: | https://hdl.handle.net/1721.1/152210 |
| _version_ | 1826194194546294784 |
|---|---|
| author | Franz, Giada Trinca, Federico |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Franz, Giada Trinca, Federico |
| author_sort | Franz, Giada |
| collection | MIT |
| description | Abstract
Given an n-dimensional Riemannian sphere conformal to the round one and
$$\delta $$
δ
-pinched, we show that it does not contain any closed stable minimal submanifold of dimension
$$2\le k\le n-\delta ^{-1}$$
2
≤
k
≤
n
-
δ
-
1
. |
| first_indexed | 2024-09-23T09:52:24Z |
| format | Article |
| id | mit-1721.1/152210 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T09:52:24Z |
| publishDate | 2023 |
| publisher | Springer US |
| record_format | dspace |
| spelling | mit-1721.1/1522102024-01-05T17:22:38Z On the Stability of Minimal Submanifolds in Conformal Spheres Franz, Giada Trinca, Federico Massachusetts Institute of Technology. Department of Mathematics Abstract Given an n-dimensional Riemannian sphere conformal to the round one and $$\delta $$ δ -pinched, we show that it does not contain any closed stable minimal submanifold of dimension $$2\le k\le n-\delta ^{-1}$$ 2 ≤ k ≤ n - δ - 1 . 2023-09-22T18:34:29Z 2023-09-22T18:34:29Z 2023-08-08 2023-08-13T03:11:39Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/152210 The Journal of Geometric Analysis. 2023 Aug 08;33(10):335 PUBLISHER_CC en https://doi.org/10.1007/s12220-023-01398-4 Creative Commons Attribution https://creativecommons.org/licenses/by/4.0/ The Author(s) application/pdf Springer US Springer US |
| spellingShingle | Franz, Giada Trinca, Federico On the Stability of Minimal Submanifolds in Conformal Spheres |
| title | On the Stability of Minimal Submanifolds in Conformal Spheres |
| title_full | On the Stability of Minimal Submanifolds in Conformal Spheres |
| title_fullStr | On the Stability of Minimal Submanifolds in Conformal Spheres |
| title_full_unstemmed | On the Stability of Minimal Submanifolds in Conformal Spheres |
| title_short | On the Stability of Minimal Submanifolds in Conformal Spheres |
| title_sort | on the stability of minimal submanifolds in conformal spheres |
| url | https://hdl.handle.net/1721.1/152210 |
| work_keys_str_mv | AT franzgiada onthestabilityofminimalsubmanifoldsinconformalspheres AT trincafederico onthestabilityofminimalsubmanifoldsinconformalspheres |