On the Stability of Minimal Submanifolds in Conformal Spheres
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12220_2023_Article_1398.pdf
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Author(s)
Franz, Giada
Trinca, Federico
Date Issued
August 8, 2023
Publisher
Springer US
Citation
The Journal of Geometric Analysis. 2023 Aug 08;33(10):335
Version
Final published version
Abstract
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
.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Creative Commons Attribution
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DOI of Published Version
https://doi.org/10.1007/s12220-023-01398-4
