Lower bounds on density for topologically nontrivial minimal cones up to dimension six
We prove lower bounds on the density of regular minimal cones of dimension less than seven provided the complements of the cones are topologically nontrivial.
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| Format: | Article |
| Language: | English |
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Cambridge University Press
2025-01-01
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| Series: | Forum of Mathematics, Sigma |
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| Online Access: | https://www.cambridge.org/core/product/identifier/S2050509425100807/type/journal_article |
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| _version_ | 1849715502159495168 |
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| author | Jacob Bernstein Lu Wang |
| author_facet | Jacob Bernstein Lu Wang |
| author_sort | Jacob Bernstein |
| collection | DOAJ |
| description | We prove lower bounds on the density of regular minimal cones of dimension less than seven provided the complements of the cones are topologically nontrivial. |
| format | Article |
| id | doaj-art-62f10f7c3eb04cb4b1d9543f3f7f167e |
| institution | DOAJ |
| issn | 2050-5094 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Cambridge University Press |
| record_format | Article |
| series | Forum of Mathematics, Sigma |
| spelling | doaj-art-62f10f7c3eb04cb4b1d9543f3f7f167e2025-08-20T03:13:22ZengCambridge University PressForum of Mathematics, Sigma2050-50942025-01-011310.1017/fms.2025.10080Lower bounds on density for topologically nontrivial minimal cones up to dimension sixJacob Bernstein0https://orcid.org/0000-0003-2774-9030Lu Wang1https://orcid.org/0000-0001-8664-3813Department of Mathematics, Johns Hopkins University, 3400 N. Charles Street, Baltimore, MD, 21218, United States; E-mail:Department of Mathematics, https://ror.org/03v76x132 Yale University , 219 Prospect Street, New Haven, CT, 06511, United StatesWe prove lower bounds on the density of regular minimal cones of dimension less than seven provided the complements of the cones are topologically nontrivial.https://www.cambridge.org/core/product/identifier/S2050509425100807/type/journal_article53A1053E1058E1255N10 |
| spellingShingle | Jacob Bernstein Lu Wang Lower bounds on density for topologically nontrivial minimal cones up to dimension six Forum of Mathematics, Sigma 53A10 53E10 58E12 55N10 |
| title | Lower bounds on density for topologically nontrivial minimal cones up to dimension six |
| title_full | Lower bounds on density for topologically nontrivial minimal cones up to dimension six |
| title_fullStr | Lower bounds on density for topologically nontrivial minimal cones up to dimension six |
| title_full_unstemmed | Lower bounds on density for topologically nontrivial minimal cones up to dimension six |
| title_short | Lower bounds on density for topologically nontrivial minimal cones up to dimension six |
| title_sort | lower bounds on density for topologically nontrivial minimal cones up to dimension six |
| topic | 53A10 53E10 58E12 55N10 |
| url | https://www.cambridge.org/core/product/identifier/S2050509425100807/type/journal_article |
| work_keys_str_mv | AT jacobbernstein lowerboundsondensityfortopologicallynontrivialminimalconesuptodimensionsix AT luwang lowerboundsondensityfortopologicallynontrivialminimalconesuptodimensionsix |