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...

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Bibliographic Details
Main Authors: Franz, Giada, Trinca, Federico
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: Springer US 2023
Online Access:https://hdl.handle.net/1721.1/152210
Description
Summary: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 .