Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2407.09708 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Table of Contents:
- A new approach for constructing minimal submanifolds of codimension 1 in the round spheres is proposed. In the case of $\mathbb{S}^3$ two immersions of the Clifford torus and all Lawson $τ_{n, m}$ surfaces are described in terms of $(λ, μ)$-eigenfunctions. Also, a new proof of a theorem that describes $(λ, μ)$-eigenfunctions on sphere is obtained. This proof is based on a statement that a function $f$ is a $(λ, μ)$-eigenfunction if and only if $f$ and $f^2$ are eigenfunctions for the Laplace-Beltrami operator.