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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2411.13966 |
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| _version_ | 1866912913144414208 |
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| author | Hebda, James J. Katz, Mikhail G. |
| author_facet | Hebda, James J. Katz, Mikhail G. |
| contents | We study the maximum ratio of the Euclidean norm to the comass norm of p-covectors in Euclidean n-space and improve the known upper bound found in the standard references by Whitney and Federer. We go on to prove stable systolic inequalities when the fundamental cohomology class of the manifold is a cup product of forms of lower degree. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_13966 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On comass and stable systolic inequalities Hebda, James J. Katz, Mikhail G. Differential Geometry 53C23 We study the maximum ratio of the Euclidean norm to the comass norm of p-covectors in Euclidean n-space and improve the known upper bound found in the standard references by Whitney and Federer. We go on to prove stable systolic inequalities when the fundamental cohomology class of the manifold is a cup product of forms of lower degree. |
| title | On comass and stable systolic inequalities |
| topic | Differential Geometry 53C23 |
| url | https://arxiv.org/abs/2411.13966 |