A metric property of umbilic points

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dc.creatorGarcia, Ronaldo
dc.creatorSotomayor, Jorge
dc.date2003-05-13
dc.date.accessioned2026-07-07T04:57:58Z
dc.date.available2026-07-07T04:57:58Z
dc.descriptionIn the space $\mathbb U^4$ of cubic forms of surfaces, regarded as a $G$-space and endowed with a natural invariant metric, the ratio of the volumes of those representing umbilic points with negative to those with positive indexes is evaluated in terms of the asymmetry of the metric, defined here. A connection of this ratio with that reported by Berry and Hannay (1977) in the domain of Statistical Physics, is discussed.
dc.description8 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/math/0305185
dc.identifierhttp://arxiv.org/abs/math/0305185
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67451
dc.subjectDifferential Geometry
dc.subjectDynamical Systems
dc.subject53C12, 37C75
dc.titleA metric property of umbilic points
dc.typetext

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