(1) Department of Mathematics, University of Wuppertal, D-42097 Wuppertal, Germany;(2) U.S.T.L., Cité Scientifique, 59655 Villeneuve d’Ascq Cedex, France
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.