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.
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| Udgivet i: | Proc Natl Acad Sci U S A |
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| Hovedforfatter: | |
| Format: | Artigo |
| Sprog: | Inglês |
| Udgivet: |
National Academy of Sciences
1982
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| Fag: | |
| Online adgang: | 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 |
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