2003/10/21 by Casim Abbas
Mathematics · #Geometric and Algebraic Topology #Geometric Analysis and Curvature Flows #Holomorphic and Operator Theory
paper · doi:10.1002/cpa.3036
Abstract This paper is part of a larger program, the investigation of the chord problem in three dimensional contact geometry. The main tool will be pseudoholomorphic strips in the symplectisation of a three dimensional contact manifold with two totally real submanifolds L 0 , L 1 as boundary conditions. The submanifolds L 0 and L 1 do not intersect transversally. In this paper we will develop a nonlinear Fredholm theory that guarantees the existence of a family of embedded pseudoholomorphic strips near a given one with suitable properties. © 2003 Wiley Periodicals, Inc.