5 citations · 6 across the 7 of their papers we have counts for
10 papers
Twistor theory of Loxodromes
Maciej Dunajski, Wojciech Kryński
The twistor correspondence provides a duality between curves in and ruled surfaces in in which the conformal properties of the former are reflected in the pro…
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…
Cone structures and path geometries with constant torsion
Wojciech Kryński
We study three-dimensional path geometries with nontrivial torsion of maximal rank. We introduce the notion of constant torsion and show that such path geometries are in one-to-one…
Two-component integrable extension of general heavenly equation
Wojciech Kryński, Artur Sergyeyev
We introduce an integrable two-component extension of the general heavenly equation and prove that the solutions of this extension are in one-to-one correspondence with 4-dimension…
Variational principles for conformal geodesics
Maciej Dunajski, Wojciech Kryński
Conformal geodesics are solutions to a system of third order of equations, which makes a Lagrangian formulation problematic. We show how enlarging the class of allowed variations l…
Geometric aspects of two- and threepeakons
Tomasz Cieślak, Wojciech Kryński
We apply geometric tools to study dynamics of two- and threepeakon solutions of the Camassa--Holm equation. New proofs of asymptotic behavior of the solutions are given. In particu…