19 citations · 85 across the 37 of their papers we have counts for
40 papers
Regularity of infinitesimal automorphisms of involutive structures
Bernhard Lamel, Nicholas Braun Rodrigues
In this paper, we prove that infinitesimal automorphisms of an involutive structure are smooth. For this, we build a regularity theory for sections of vector bundles over an involu…
Approximation of pseudohermitian structures via embeddings into spheres
Hendrik Herrmann, Chin-Yu Hsiao, Bernhard Lamel
Let be a compact strictly pseudoconvex CR manifold which is CR embeddable into the complex Euclidean space. We show that can be approximated in $\mathscr{…
A sphericity criterion for strictly pseudoconvex hyper surfaces in via invariant curves
Florian Bertrand, Giuseppe Della Sala, Bernhard Lamel
We prove that if every chain on a strictly pseudoconvex hypersurface in coincides with the boundary of a stationary disc, then is locally spherical.
Intrinsic complexification of real-analytic varieties
Bernhard Lamel, Jiri Lebl
We introduce a framework for Segre varieties for singular real-analytic subvarieties of a complex space and utilize it to study the intrinsic complexifications of these subvarietie…
Holomorphic vector fields with real integral manifolds
Martin Kolář, Ilya Kossovskiy, Bernhard Lamel
We classify singular holomorphic vector fields in two-dimensional complex space admitting a (Levi-nonflat) real-analytic invariant 3-fold through the singularity. In this way, we c…
Regularity of CR maps into uniformly pseudoconvex hypersurfaces and applications to proper holomorphic maps
Josef Greilhuber, Bernhard Lamel
We study regularity properties of CR maps in positive codimension valued in pseudoconvex manifolds which carry a nontrivial Levi foliation. We introduce an invariant which can be u…