Widths of balls and free boundary minimal submanifolds
We observe that the kk-dimensional width of an nn-ball in a space form is given by the area of an equatorial kk-ball. We also discuss the relationship between widths and lower bounds for the area of a free boundary minimal submanifold in a space form ball.
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| Format: | Article |
| Language: | English |
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De Gruyter
2023-01-01
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| Series: | Advanced Nonlinear Studies |
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| Online Access: | https://doi.org/10.1515/ans-2022-0044 |
| _version_ | 1828041851295236096 |
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| author | Zhu Jonathan J. |
| author_facet | Zhu Jonathan J. |
| author_sort | Zhu Jonathan J. |
| collection | DOAJ |
| description | We observe that the kk-dimensional width of an nn-ball in a space form is given by the area of an equatorial kk-ball. We also discuss the relationship between widths and lower bounds for the area of a free boundary minimal submanifold in a space form ball. |
| first_indexed | 2024-04-10T17:22:21Z |
| format | Article |
| id | doaj.art-1af92dfe0abf4f938fbc05f4c0012d40 |
| institution | Directory Open Access Journal |
| issn | 2169-0375 |
| language | English |
| last_indexed | 2024-04-10T17:22:21Z |
| publishDate | 2023-01-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Advanced Nonlinear Studies |
| spelling | doaj.art-1af92dfe0abf4f938fbc05f4c0012d402023-02-05T08:43:35ZengDe GruyterAdvanced Nonlinear Studies2169-03752023-01-012311063107810.1515/ans-2022-0044Widths of balls and free boundary minimal submanifoldsZhu Jonathan J.0Department of Mathematics, University of Washington, Seattle, USAWe observe that the kk-dimensional width of an nn-ball in a space form is given by the area of an equatorial kk-ball. We also discuss the relationship between widths and lower bounds for the area of a free boundary minimal submanifold in a space form ball.https://doi.org/10.1515/ans-2022-0044widthwaistfree boundaryminimal submanifold53c2353a10 |
| spellingShingle | Zhu Jonathan J. Widths of balls and free boundary minimal submanifolds Advanced Nonlinear Studies width waist free boundary minimal submanifold 53c23 53a10 |
| title | Widths of balls and free boundary minimal submanifolds |
| title_full | Widths of balls and free boundary minimal submanifolds |
| title_fullStr | Widths of balls and free boundary minimal submanifolds |
| title_full_unstemmed | Widths of balls and free boundary minimal submanifolds |
| title_short | Widths of balls and free boundary minimal submanifolds |
| title_sort | widths of balls and free boundary minimal submanifolds |
| topic | width waist free boundary minimal submanifold 53c23 53a10 |
| url | https://doi.org/10.1515/ans-2022-0044 |
| work_keys_str_mv | AT zhujonathanj widthsofballsandfreeboundaryminimalsubmanifolds |