34 citations · 70 across the 9 of their papers we have counts for
12 papers
The Cayley cubic and differential equations
Wojciech Kryński, Omid Makhmali
We define Cayley structures as a field of Cayley's ruled cubic surfaces over a four dimensional manifold and motivate their study by showing their similarity to indefinite conforma…
On deformations of the dispersionless Hirota equation
Wojciech Krynski
The hyper-CR Einstein-Weyl structures on can be described in terms of the solutions to the dispersionless Hirota equation. In the present paper we show that simple geometric…
-structures in dimension four, -flatness and integrability
Wojciech Krynski, Thomas Mettler
We show that torsion-free four-dimensional -structures are flat up to a coframe transformation with a mapping taking values in a certain subgroup $H\subset\mathrm{S…
Webs and the Plebański equation
Wojciech Krynski
We consider 3-webs, hyper-para-complex structures and integrable Segre structures on manifolds of even dimension and generalise the second heavenly Plebański equation in the contex…
On contact sub-pseudo-Riemannian isometries
Marek Grochowski, Wojciech Krynski
We study isometries in the contact sub-pseudo-Riemannian geometry. In particular we give an upper bound on the dimension of the isometry group of a general sub-pseudo-Riemannian ma…
Invariants of contact sub-pseudo-Riemannian structures and Einstein-Weyl geometry
Marek Grochowski, Wojciech Krynski
We consider local geometry of sub-pseudo-Riemannian structures on contact manifolds. We construct fundamental invariants of the structures and show that the structures give rise to…
Point invariants of third-order ODEs and hyper-CR Einstein-Weyl structures
Maciej Dunajski, Wojciech Krynski
We characterize Lorentzian three-dimensional hyper-CR Einstein-Weyl structures in terms of invariants of the associated third order ordinary differential equations.
Paraconformal structures, ordinary differential equations and totally geodesic manifolds
Wojciech Krynski
We construct point invariants of ordinary differential equations that generalise the Cartan invariants of equations of order two and three. The vanishing of the invariants is equiv…
Einstein--Weyl geometry, dispersionless Hirota equation and Veronese webs
Maciej Dunajski, Wojciech Krynski
We exploit the correspondence between the three-dimensional Lorentzian Einstein-Weyl geometries of the hyper-CR type, and the Veronese webs to show that the former structures are l…
Canonical frames for Gl(2)-structures
Wojciech Krynski
We construct a canonical frame for an arbitrary Gl(2)-structure thus solving the equivalence problem for Gl(2)-structures. Our treatment includes also a problem of contact equivale…
Parabolic (3,5,6)-distributions and Gl(2)-structures
Wojciech Krynski
We consider rank 3 distributions with growth vector (3,5,6). The class of such distributions splits into three subclasses: parabolic, hyperbolic and elliptic. In the present paper,…
Canonical frames for distributions of odd rank and corank 2 with maximal first Kronecker index
Wojciech Krynski, Igor Zelenko
We construct canonical frames and find all maximally symmetric models for a natural generic class of corank 2 distributions on manifolds of odd dimension greater or equal to 7. Thi…