A remark on minimal hypercones
Let M be a minimal hypersurface in the sphere. It is shown that if the cone over M is a stable critical point for the area functional, then M admits a conformally equivalent metric with positive scalar curvature. This gives both topological and geometric restrictions on such hypersurfaces M.
Gardado en:
| Publicado en: | Proc Natl Acad Sci U S A |
|---|---|
| Autor Principal: | |
| Formato: | Artigo |
| Idioma: | Inglês |
| Publicado: |
National Academy of Sciences
1982
|
| Assuntos: | |
| Acceso en liña: | https://ncbi.nlm.nih.govhttps://pmc.ncbi.nlm.nih.gov/articles/PMC346704/ https://ncbi.nlm.nih.govhttps://pubmed.ncbi.nlm.nih.gov/16593217/ https://ncbi.nlm.nih.govhttps://doi.org/10.1073/pnas.79.14.4523 |
| Tags: |
Sen Etiquetas, Sexa o primeiro en etiquetar este rexistro!
|