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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2605.24916 |
| Etiquetas: |
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- In this paper, we characterize all eigenfunctions corresponding to nonpositive eigenvalues of the Jacobi operator of the link $M$ of the Lawson-Osserman cone $\mathbf{C}$ in $\mathbb{R}^7$. In particular, we prove that $\mathbf{C}$ is integrable, i.e., all Jacobi fields on $\mathbf{C}$ of homogeneous degree 1 and 0, are generated by rotations and translations in $\mathbb{R}^7$. As applications, we prove that $M$ is rigid as minimal submanifolds in $\mathbb{S}^6$, and derive the optimal decay order for minimal submanifolds in $\mathbb{R}^7$ asymptotic to $\mathbf{C}$ at infinity.