Short loops in surfaces with a circular boundary component
It is a classical theorem of Loewner that the systole of a Riemannian torus can be bounded in terms of its area. We answer a question of a similar flavor of Robert Young showing that if S is a Riemannian surface with connected boundary in Rn, such that the boundary curve is a standard unit circle, t...
| Κύριος συγγραφέας: | |
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| Μορφή: | Journal article |
| Γλώσσα: | English |
| Έκδοση: |
World Scientific Publishing
2018
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| _version_ | 1826309437049012224 |
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| author | Papasoglu, P |
| author_facet | Papasoglu, P |
| author_sort | Papasoglu, P |
| collection | OXFORD |
| description | It is a classical theorem of Loewner that the systole of a Riemannian torus can be bounded in terms of its area. We answer a question of a similar flavor of Robert Young showing that if S is a Riemannian surface with connected boundary in Rn, such that the boundary curve is a standard unit circle, then the length of the shortest non-contractible loop in S is bounded in terms of the area of S. |
| first_indexed | 2024-03-07T07:35:39Z |
| format | Journal article |
| id | oxford-uuid:e9da99ec-a09a-437a-8a1a-35d9a98f52ae |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T07:35:39Z |
| publishDate | 2018 |
| publisher | World Scientific Publishing |
| record_format | dspace |
| spelling | oxford-uuid:e9da99ec-a09a-437a-8a1a-35d9a98f52ae2023-02-23T12:12:49ZShort loops in surfaces with a circular boundary componentJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:e9da99ec-a09a-437a-8a1a-35d9a98f52aeEnglishSymplectic Elements at OxfordWorld Scientific Publishing2018Papasoglu, PIt is a classical theorem of Loewner that the systole of a Riemannian torus can be bounded in terms of its area. We answer a question of a similar flavor of Robert Young showing that if S is a Riemannian surface with connected boundary in Rn, such that the boundary curve is a standard unit circle, then the length of the shortest non-contractible loop in S is bounded in terms of the area of S. |
| spellingShingle | Papasoglu, P Short loops in surfaces with a circular boundary component |
| title | Short loops in surfaces with a circular boundary component |
| title_full | Short loops in surfaces with a circular boundary component |
| title_fullStr | Short loops in surfaces with a circular boundary component |
| title_full_unstemmed | Short loops in surfaces with a circular boundary component |
| title_short | Short loops in surfaces with a circular boundary component |
| title_sort | short loops in surfaces with a circular boundary component |
| work_keys_str_mv | AT papasoglup shortloopsinsurfaceswithacircularboundarycomponent |