On the stability of minimal submanifolds in conformal spheres

Giada Franz; Federico Trinca

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arXiv · 2211.01106

On the stability of minimal submanifolds in conformal spheres

Giada Franz·Federico Trinca

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Abstract

Given an $n$-dimensional Riemannian sphere conformal to the round one and $δ$-pinched, we show that it does not contain any closed stable minimal submanifold of dimension $2\le k\le n-δ^{-1}$.

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BibTeX RIS

Giada Franz, Federico Trinca. 2023-10-13. On the stability of minimal submanifolds in conformal spheres. https://arxiv.org/abs/2211.01106

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