Sur la systole de la sphère au voisinage de la métrique standard

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dc.creatorBalacheff, Florent
dc.date2006-01-12
dc.date.accessioned2026-07-07T07:44:02Z
dc.date.available2026-07-07T07:44:02Z
dc.descriptionWe study the systolic area (defined as the ratio of the area over the square of the systole) of the 2-sphere endowed with a smooth riemannian metric as a function of this metric. This function, bounded from below by a positive constant over the space of metrics, have the standard metric $g\_0$ for critic point, although this one do not achieve the conjectured global minimum : we show that for each tangent direction to the space of metrics at $g\_0$, there exists a variation by metrics corresponding to this direction along which the systolic area can only increase
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/math/0601285
dc.identifierhttp://arxiv.org/abs/math/0601285
dc.identifierGeometriae Dedicata 121 (2006) 61-71
dc.identifierdoi:10.1007/s10711-006-9087-7
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/123052
dc.subjectDifferential Geometry
dc.subjectDynamical Systems
dc.subject53B20, 37C27
dc.titleSur la systole de la sphère au voisinage de la métrique standard
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