Geodesic
A Liouville-type theorem for stable minimal hypersurfaces
Ars Inveniendi Analytica (2021)

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We prove that if $M$ is a strictly stable complete minimal hypersurface in Euclidean space with finite density at infinity and which lies on one side of a minimal cylinder with cross-section a strictly stable area minimizing hypercone, then $M$ must be cylindrical. Applications will be given in the references [Sim20a], [Sim20b].
Publié le :
DOI : 10.15781/hk9g-zz18 
@article{10_15781_hk9g_zz18,
     author = {Leon Simon},
     title = {A {Liouville-type} theorem for stable minimal hypersurfaces},
     journal = {Ars Inveniendi Analytica},
     publisher = {mathdoc},
     year = {2021},
     doi = {10.15781/hk9g-zz18},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.15781/hk9g-zz18/}
}
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Leon Simon. A Liouville-type theorem for stable minimal hypersurfaces. Ars Inveniendi Analytica (2021). doi: 10.15781/hk9g-zz18

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