A quantitative obstruction to collapsing surfaces
We provide a quantitative obstruction to collapsing surfaces of genus at least 2 under a lower curvature bound and an upper diameter bound.
| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2019-10-01
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| Series: | Open Mathematics |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/math-2019-0103 |
| _version_ | 1819026780705521664 |
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| author | Katz Mikhail G. |
| author_facet | Katz Mikhail G. |
| author_sort | Katz Mikhail G. |
| collection | DOAJ |
| description | We provide a quantitative obstruction to collapsing surfaces of genus at least 2 under a lower curvature bound and an upper diameter bound. |
| first_indexed | 2024-12-21T05:32:01Z |
| format | Article |
| id | doaj.art-c538ba31f4bb41239bf66e8e85ef4519 |
| institution | Directory Open Access Journal |
| issn | 2391-5455 |
| language | English |
| last_indexed | 2024-12-21T05:32:01Z |
| publishDate | 2019-10-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Open Mathematics |
| spelling | doaj.art-c538ba31f4bb41239bf66e8e85ef45192022-12-21T19:14:31ZengDe GruyterOpen Mathematics2391-54552019-10-011711183118510.1515/math-2019-0103math-2019-0103A quantitative obstruction to collapsing surfacesKatz Mikhail G.0Department of Mathematics, Bar Ilan University, Ramat Gan, 5290002, IsraelWe provide a quantitative obstruction to collapsing surfaces of genus at least 2 under a lower curvature bound and an upper diameter bound.https://doi.org/10.1515/math-2019-0103curvaturediametervolumefilling radiussystolegromov-hausdorff distance |
| spellingShingle | Katz Mikhail G. A quantitative obstruction to collapsing surfaces Open Mathematics curvature diameter volume filling radius systole gromov-hausdorff distance |
| title | A quantitative obstruction to collapsing surfaces |
| title_full | A quantitative obstruction to collapsing surfaces |
| title_fullStr | A quantitative obstruction to collapsing surfaces |
| title_full_unstemmed | A quantitative obstruction to collapsing surfaces |
| title_short | A quantitative obstruction to collapsing surfaces |
| title_sort | quantitative obstruction to collapsing surfaces |
| topic | curvature diameter volume filling radius systole gromov-hausdorff distance |
| url | https://doi.org/10.1515/math-2019-0103 |
| work_keys_str_mv | AT katzmikhailg aquantitativeobstructiontocollapsingsurfaces AT katzmikhailg quantitativeobstructiontocollapsingsurfaces |