Diffeomorphisms of Stein structures

Mathematics – Complex Variables

Scientific paper

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Scientific paper

We prove that a pseudoholomorphic diffeomorphism between two almost complex
manifolds with boundaries satisfying some pseudoconvexity type condition cannot
map a pseudoholomorphic disc in the boundary to a single point. This can be
viewed as an almost complex analogue of a well-known theorem of J. E. Fornaess.

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