Hyperellipticity and Klein bottle companionship in systolic geometry

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Given a hyperelliptic Klein surface, we construct companion Klein bottles. Bavard's short loops on companion bottles are studied in relation to the surface to improve an inequality of Gromov's in systolic geometry.
18 pages, 1 figure

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Differential Geometry, Algebraic Geometry, 53C23; 30F10, 58J60

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http://salesiana.dossiersoluciones.com/handle/123456789/229365

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0811.1717
 http://arxiv.org/abs/0811.1717

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arXiv