Gluing complex discs to Lagrangian manifolds by Gromov’s method

We use non-isotropic dilations in special coordinates “reducing” an almost complex structure in order to represent a strictly pseudoconvex hypersurface on an almost complex manifold

We prove that for every almost complex manifold and every symplectic form on T ∗ M compatible with the generalized horizontal lift, the conormal bundle of a strictly

In Section 4 we construct pseudo-holomorphic discs attached to the standard torus in C 2 equipped with a certain almost complex structure.. This improves the corresponding result of

Our main goal is to provide a new analytic and geometric characterization of extremal discs for smooth almost complex structures which are close to the standard complex structure on

In the special case when the boundary of the domain G is diffeomor- phic to a 3-dimensional sphere, the fact that the closed complex tangential curve ⊂ S ⊂ ∂ G mentioned above does

Our main result in this paper is that any compact smooth submani- fold M in a Stein manifold X of real codimension two has the property that its envelope of

— Motivated by a renewed interest for the “additive dilogarithm” appeared recently, the purpose of this paper is to complete calculations on the tangent complex to the

In the present paper, we give a lower estimate on the Kobayashi-Royden infinitesimal metric on a strictly pseudoconvex domain in an almost complex manifold (such estimates