19 citations · 85 across the 37 of their papers we have counts for
4 papers · 1 filter
Minimisers and Kellogg's theorem
David Kalaj, Bernhard Lamel
We extend the celebrated theorem of Kellogg for conformal mappings to the minimizers of Dirichlet energy. Namely we prove that a diffeomorphic minimiser of Dirichlet energy of Sobo…
The CR Ahlfors derivative and a new invariant for spherically equivalent CR maps
Bernhard Lamel, Duong Ngoc Son
We study a CR analogue of the Ahlfors derivative for conformal immersions of Stowe [23] that generalizes the CR Schwarzian derivative studied earlier by the second-named author [21…
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…