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Diffeomorphisms of Stein structures

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Abstract

We prove that a pseudoholomorphic diffeomorphism between two almost complex manifolds with boundaries satisfying some pseudoconvexity type conditions 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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Communicated by John Eric Fornæss

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Diederich, K., Sukhov, A. Diffeomorphisms of Stein structures. J Geom Anal 16, 499–505 (2006). https://doi.org/10.1007/BF02922063

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