On the perturbation of the stationary discs in almost complex manifolds

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:443

Article

Kuzman, Urog^1,2 

[1] Univ Ljubljana, Fac Math & Phys, Jadranska 21, Ljubljana 1000, Slovenia

[2] Inst Math Phys & Mech, Jadranska 19, Ljubljana 1000, Slovenia

关键词: Stationary discs;    Almost complex manifolds;    Pseudoholomorphic curves;    Totally real submanifold;   

DOI  :  10.1016/j.jmaa.2016.04.078

来源: Elsevier

【 摘 要 】

We study the neighborhood of an embedded J-holomorphic disc f attached along its boundary to a strictly pseudoconvex domain Omega subset of (R-4, J). In particular, we give sufficient conditions for the set of all nearby attached J-holomorphic discs to be a manifold. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free