3 papers
math.DG2026
Canonical Bochner-Kähler potentials via the Sasaki-Kähler correspondence
Martin Kolář, Gerd Schmalz, David Sykes
We introduce a new approach to the study of Bochner-Kähler manifolds, based on normal form techniques in CR geometry. As observed by Webster, Bochner-Kähler manifolds are intimatel…
math.CV2025
New examples of CR submanifolds for the -jet determination problem
Florian Bertrand, Martin Kolář, Francine Meylan
This paper addresses two questions related to mapping problems. In the first part of the paper, we discuss some recent results regarding the -jet determination for biholomorphis…
math.CV2025
Classification of polynomial models without 2-jet determination in
Petr Liczman, Martin Kolář, Francine Meylan
An intriguing phenomenon regarding Levi-degenerate hypersurfaces is the existence of nontrivial infinitesimal symmetries with vanishing 2-jets at a point. In this work we consider…