A note on the geometry of pseudoconvex domains of finite type in almost complex manifolds

Abstract

Abstract. Let D = {ρ < 0} be a smooth domain of finite type in an almost complex manifold (M, J) of real dimension four. We assume that the defining function ρ is J-plurisubharmonic on a neighborhood of D. We study the asymptotic behavior of pseudoholomorphic discs contained in the domain D.