Rigidity of Beltrami fields with a non-constant proportionality factor
Analysis of PDEs
2022-05-04 v1
Abstract
We prove that bounded Beltrami fields must be symmetric if a proportionality factor depends on 2 variables in the cylindrical coordinate and admits a regular level set diffeomorphic to a cylinder or a torus.
Keywords
Cite
@article{arxiv.2108.03870,
title = {Rigidity of Beltrami fields with a non-constant proportionality factor},
author = {Ken Abe},
journal= {arXiv preprint arXiv:2108.03870},
year = {2022}
}
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12 pages