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

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

In 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.
18 pages; enlarged version of dg-ga/9708012

Keywords

Complex Variables, Differential Geometry, Symplectic Geometry, 32H15, 32 H 20, 53 C 15

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/58743

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0002190
 http://arxiv.org/abs/math/0002190
 Functional Analysis and Its Applications, v.33, no.1 (1999), pp.38-48

Collections

arXiv