3 papers
math.DG2026
Rigidity theorems for cone structures
Tymon Frelik, Wojciech Kryński
Cone structures on differentiable manifolds are fields of cones in the tangent bundle. A cone structure is isotrivial, modeled on a fixed immersed submanifold of the projective spa…
math.DG2025
Novel pathways in -contact geometry
Tomasz Sobczak, Tymon Frelik
Our study of Goursat distributions originates new types of -contact distributions and Lie systems with applications. In particular, families of generators for Goursat distributi…
math.DG2024
The CR geometry of the three-segment snake
Tymon Frelik
We study the geometry associated with the kinematics of a planar robot known as the "three-segment snake," whose velocity distribution belongs to a class of (2,3,5) distributions.…