3 papers
math.AP2025
A functional inequality between Hessians in spaces with non-zero curvature
Tomasz Cieślak, Michał Gaczkowski, Wojciech Kryński
A version of the recent functional inequality between the Hessians of the square root and the logarithm of positive functions is proven in spaces with non-zero curvature.
math.DG2024
Lewy curves in para-CR geometry
Wojciech Kryński, Omid Makhmali
We define a class of curves, referred to as Lewy curves, in para-CR geometry, following H. Lewy's original definition in CR geometry. We give a characterization of path geometries…
math.DG2023
A characterization of chains in dimension three
Wojciech Kryński, Omid Makhmali
Given a 3-dimensional (para-)CR structure, its family of chains define a 3-dimensional path geometry. We provide necessary and sufficient conditions that determine whether a path g…