On the Stability of Minimal Submanifolds in Conformal Spheres
Author(s)
Franz, Giada; Trinca, Federico
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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
2023-08-08Department
Massachusetts Institute of Technology. Department of MathematicsPublisher
Springer US
Citation
The Journal of Geometric Analysis. 2023 Aug 08;33(10):335
Version: Final published version