Deformation of Brody curves and mean dimension

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dc.creatorTsukamoto, Masaki
dc.date2007-12-03
dc.date.accessioned2026-07-07T08:46:53Z
dc.date.available2026-07-07T08:46:53Z
dc.descriptionThe main purpose of this paper is to show that ideas of deformation theory can be applied to "infinite dimensional geometry". We develop the deformation theory of Brody curves. Brody curve is a kind of holomorphic map from the complex plane to the projective space. Since the complex plane is not compact, the parameter space of the deformation can be infinite dimensional. As an application we prove a lower bound on the mean dimension of the space of Brody curves.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/0712.0266
dc.identifierhttp://arxiv.org/abs/0712.0266
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/143410
dc.subjectDifferential Geometry
dc.subjectComplex Variables
dc.subject32H30
dc.titleDeformation of Brody curves and mean dimension
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