4 papers · 1 filter
Plurisubharmonic exhaustion functions and almost complex Stein structures
Klas Diederich, Alexandre Sukhov
We prove that a relatively compact pseudoconvex domain with smooth boundary in an almost complex manifold admits a bounded strictly plurisubharmonic exhaustion function. We use thi…
Diffeomorphisms of Stein structures
Klas Diederich, Alexandre Sukhov
We prove that a pseudoholomorphic diffeomorphism between two almost complex manifolds with boundaries satisfying some pseudoconvexity type condition cannot map a pseudoholomorphic…
Fine analysis on lineally convex domains of finite type
K. Diederich
A discussion of methods of nonisotropic fine quantitative complex analysis on lineally convex domains of finite type is given. The needed support functions with best possible estim…
On the displacement rigidity of Levi flat hypersurfaces - The case of boundaries of disc bundles over compact Riemann surfaces
K. Diederich, T. Ohsawa
Non-existence theorems for Levi flat hypersurfaces have found great interest in the literature. The question next to this that has to be asked is, when existing Levi flat hypersurf…