Existence of close pseudoholomorphic disks for almost complex manifolds and an applications to Kobayashi-Royden pseudonorm

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dc.creatorKruglikov, B.
dc.date2000-02-23
dc.date.accessioned2026-07-07T04:34:01Z
dc.date.available2026-07-07T04:34:01Z
dc.descriptionIn this paper we extend the notion of the Kobayashi-Royden pseudonorm for almost complex manifolds. Its basic properties known from the complex analysis are preserved in the nonintegrable case as well. The main theorem on coincidence of the pseudodistance induced by this pseudonorm with the Kobayashi pseudodistance for the almost complex manifold is equivalent to the possibility of deforming slightly a pseudoholomorphic disk in an almost complex manifold. We also describe the result in terms of h-principle and consider a geometric application for moduli spaces of pseudoholomorphic curves.
dc.description18 pages; enlarged version of dg-ga/9708012
dc.identifierhttps://arxiv.org/abs/math/0002190
dc.identifierhttp://arxiv.org/abs/math/0002190
dc.identifierFunctional Analysis and Its Applications, v.33, no.1 (1999), pp.38-48
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58743
dc.subjectComplex Variables
dc.subjectDifferential Geometry
dc.subjectSymplectic Geometry
dc.subject32H15, 32 H 20, 53 C 15
dc.titleExistence of close pseudoholomorphic disks for almost complex manifolds and an applications to Kobayashi-Royden pseudonorm
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