7 citations · 26 across the 10 of their papers we have counts for
10 papers
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…
On CR maps from the sphere into the tube over the future light cone
Michael Reiter, Duong Ngoc Son
We determine all local smooth or formal CR maps from the unit sphere into the tube $\mathcal{T}:= \mathcal{C} \times i\mathbb{R}^3 \subset \mathb…
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…
The reflection map and infinitesimal deformations of sphere mappings
Michael Reiter
The reflection map introduced by D'Angelo is applied to deduce simpler descriptions of nondegeneracy conditions for sphere maps and to the study of infinitesimal deformations of sp…
On the Chern-Moser-Weyl tensor of real hypersurfaces
Michael Reiter, Duong Ngoc Son
We derive an explicit formula for the well-known Chern-Moser-Weyl tensor for nondegenerate real hypersurfaces in complex space in terms of their defining functions. The formula is…
Infinitesimal and local rigidity of mappings of CR manifolds
Giuseppe Della Sala, Bernhard Lamel, Michael Reiter
A holomorphic mapping between two real-analytic CR manifolds and is said to be locally rigid if any other holomorphic map which is close enough to $…
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…
Topological Aspects of Holomorphic Mappings of Hyperquadrics from to
Michael Reiter
Based on the results in [Rei14a] we deduce some topological results concerning holomorphic mappings of Levi-nondegenerate hyperquadrics under biholomorphic equivalence. We study th…
Classification of Holomorphic Mappings of Hyperquadrics from to
Michael Reiter
We give a new proof of Faran's and Lebl's results by means of a new CR-geometric approach and classify all holomorphic mappings from the sphere in to Levi-nondegenera…