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Diffeomorphisms of Stein structures

Klas Diederich·Alexandre Sukhov
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Abstract

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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Klas Diederich, Alexandre Sukhov. 2006-03-17. Diffeomorphisms of Stein structures. https://arxiv.org/abs/math/0603416

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