5 citations · 10 across the 10 of their papers we have counts for
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On highly degenerate CR maps of spheres
Giuseppe della Sala, Bernhard Lamel, Michael Reiter +1
For we classify the -degenerate smooth CR maps of the three-dimensional unit sphere into the -dimensional unit sphere. Each of these maps has image being…
Deformations of CR maps and applications
Giuseppe della Sala, Bernhard Lamel, Michael Reiter
We study the deformation theory of CR maps in the positive codimensional case. In particular, we study structural properties of the {\em mapping locus} of (germs of nondegenera…
Sufficient and necessary conditions for local rigidity of CR mappings and higher order infinitesimal deformations
Giuseppe della Sala, Bernhard Lamel, Michael Reiter
In this paper we continue our study of local rigidity for maps of CR submanifolds of the complex space. We provide a linear sufficient condition for local rigidity of finitely nond…
Jet determination of smooth CR automorphisms and generalized stationary discs
Florian Bertrand, Giuseppe Della Sala, Bernhard Lamel
We prove finite jet determination for (finitely) smooth CR diffeomorphisms of (finitely) smooth Levi degenerate hypersurfaces in by constructing generalized stat…
Curves homogeneous under analytic transformations
Giuseppe Della Sala
We call a subset of \emph{biholomorphically homogeneous} if for any two points there exists a neighborhood of and a biholomorphism $ψ:U\to ψ(U)\s…
Local and infinitesimal rigidity of hypersurface embeddings
Giuseppe Della Sala, Bernhard Lamel, Michael Reiter
We study local rigidity properties of holomorphic embeddings of real hypersurfaces in into real hypersurfaces in and show that infinitesimal conditions…
Riemann-Hilbert problems with constraints
Florian Bertrand, Giuseppe Della Sala
This paper is devoted to Riemann-Hilbert problems with constraints. We obtain results characterizing the existence of solutions as well as the dimension of the solution space in te…
Stationary discs for smooth hypersurfaces of finite type and finite jet determination
Florian Bertrand, Giuseppe Della Sala
We construct a finitely dimensional invariant manifold of holomorphic discs attached to a certain class of smooth pseudconvex hypersurfaces of finite type in $\C^2$, generalizing t…
Bergman spaces of natural G-manifolds
Giuseppe Della Sala, Joe J. Perez
Let G be a unimodular Lie group, X a compact manifold with boundary, and M the total space of a principal bundle G--> M-->X so that M is also a strongly pseudoconvex complex manifo…
Local equivalence problem for Levi flat hypersurfaces
Giuseppe Della Sala
In this paper we consider germs of smooth Levi flat hypersurfaces, under the following notion of local equivalence: S_1 ~ S_2 if their one-sided neighborhoods admit a biholomorphis…
Non-embeddability of certain classes of Levi flat manifolds
Giuseppe Della Sala
On the basis of a result of Barrett, we show that members of certain classes of abstract Levi flat manifolds with boundary, whose Levi foliation contains a compact leaf with contra…