Multiplicity one for equivariant min-max theory in prescribed homology classes
Fuente:
arXiv
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Preprint |
| Publié: |
2026
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866914256114417664 |
|---|---|
| author | Wang, Tongrui |
| author_facet | Wang, Tongrui |
| contents | For a closed Riemannian manifold $M$ with a compact Lie group $G$ acting by isometries, we show a generic multiplicity one theorem in equivariant min-max theory, and show in generic sense that there are infinitely many $G$-invariant minimal hypersurfaces in a fixed $G$-homology class. We also establish an equivariant min-max theory for $G$-invariant hypersurfaces of prescribed mean curvature with $G$-index upper bounds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_09884 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Multiplicity one for equivariant min-max theory in prescribed homology classes Wang, Tongrui Differential Geometry 53A10, 53C42 For a closed Riemannian manifold $M$ with a compact Lie group $G$ acting by isometries, we show a generic multiplicity one theorem in equivariant min-max theory, and show in generic sense that there are infinitely many $G$-invariant minimal hypersurfaces in a fixed $G$-homology class. We also establish an equivariant min-max theory for $G$-invariant hypersurfaces of prescribed mean curvature with $G$-index upper bounds. |
| title | Multiplicity one for equivariant min-max theory in prescribed homology classes |
| topic | Differential Geometry 53A10, 53C42 |
| url | https://arxiv.org/abs/2601.09884 |