We give a necessary condition for the existence of extremal pseudoholomorphic discs on some domains in (R 2n , J ) where J is a small almost complex deformation of the standard complex structure.
Abstract. The purpose of this paper is to present a generalization of Forelli's theorem. In particular, we prove an all dimensional version of the two-dimensional theorem of Chirka [1] of 2005.
We show how an appropriate choice for affine connections in the target manifold allows the pseudoholomorphic curves to be realized as harmonic maps. As an application, we present a generalized Big Picard Theorem for pseudo-holomorphic maps between manifolds with almost complex structures.
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