On the Stability of Minimal Submanifolds in Conformal Spheres

Author(s)
Franz, Giada; Trinca, Federico
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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 .
Date issued
2023-08-08
URI
https://hdl.handle.net/1721.1/152210
Department
Massachusetts Institute of Technology. Department of Mathematics
Publisher
Springer US
Citation
The Journal of Geometric Analysis. 2023 Aug 08;33(10):335
Version: Final published version
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