Length product of homologically independent loops for tori
We prove that any Riemannian torus of dimension m with unit volume admits m homologically independent closed geodesics whose length product is bounded from above by m^m.
| Autores: | , |
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| Formato: | artículo |
| Fecha de publicación: | 2016 |
| País: | España |
| Recursos: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:287628 |
| Acesso em linha: | https://ddd.uab.cat/record/287628 https://dx.doi.org/urn:doi:10.1142/S1793525316500175 |
| Access Level: | acceso abierto |
| Palavra-chave: | Minimal hypersurface Second Minkowski theorem Systolic geometry Torus |
| Resumo: | We prove that any Riemannian torus of dimension m with unit volume admits m homologically independent closed geodesics whose length product is bounded from above by m^m. |
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