Perturbing analytic discs attached to maximal real submanifolds of CN

Some aspects of analysis on almost complex manifolds with boundary

“…This is due to J.Globevnik [35,36] for the integrable case and relies on the partial indices of the totally real fibration along (f 0 , g 0 ).…”

“…The following result is due to J. Globevnik [36]: Theorem : Suppose that all the partial indices of the totally real fibration E along f are ≥ −1 and denote by k the Maslov index of E along f . Then the linear map from (A α …”

On the perturbation of the stationary discs in almost complex manifolds

“…The structure of the space of all J-holomorphic discs near an embedded J-holomorphic disc attached to a maximal totally real manifold was studied by many authors [4,1,6,7]. In this paper we apply the deformation theory developed in [10,9] to present a similar result for stationary discs.…”

On some polynomially convex maximal real submanifolds inC2nand a related Riemann–Hilbert problem

“…It turns out that the integers k j are in all such decompositions of T the same and we call them partial indices of the loop T . For details see [2][3][4][6][7][8][9]14].…”