Existence of minimal hypersurfaces with non-empty free boundary for generic 
metrics

Wang, Zhichao

doi:10.1353/ajm.2022.0012

Item

ITEM ACTIONSEXPORT

Add to Basket

Local TagsRelease HistoryDetailsSummary

Released

Journal Article

Existence of minimal hypersurfaces with non-empty free boundary for generic metrics

MPS-Authors

/persons/resource/persons248015

Wang, Zhichao
Max Planck Institute for Mathematics, Max Planck Society;

External Resource

https://doi.org/10.1353/ajm.2022.0012
(Publisher version)

Fulltext (restricted access)

There are currently no full texts shared for your IP range.

Fulltext (public)

1909.01787.pdf
(Preprint), 150KB

Supplementary Material (public)

There is no public supplementary material available

Citation

Wang, Z. (2022). Existence of minimal hypersurfaces with non-empty free boundary for generic metrics. American Journal of Mathematics, 14(2), 599-606. doi:10.1353/ajm.2022.0012.

Cite as: https://hdl.handle.net/21.11116/0000-000A-22A0-A

Abstract

For almost all Riemannian metrics (in the $C^\infty$ Baire sense) on a
compact manifold with boundary $(M^{n+1},\partial M)$, $3\leq (n + 1)\leq 7$,
we prove that, for any open subset $V$ of $\partial M$, there exists a compact,
properly embedded free boundary minimal hypersurface intersecting $V$.