55 citations · 486 across the 49 of their papers we have counts for
4 papers · 1 filter
Quasi-Lie schemes for PDEs
Jose F. Carinena, Janusz Grabowski, Javier de Lucas
The theory of quasi-Lie systems, i.e. systems of first order ordinary differential equations which can be related via a generalised flow to Lie systems, is extended to systems of p…
A cohomological approach to immersed submanifolds via integrable systems
A. Michel Grundland, Javier de Lucas
A geometric approach to immersion formulas for soliton surfaces is provided through new cohomologies on spaces of special types of -valued differential forms. This le…
A Grassmann and graded approach to coboundary Lie bialgebras, their classification, and Yang-Baxter equations
J. de Lucas, D. Wysocki
This work pioneers the systematic study and classification (up to Lie algebra automorphisms) of finite-dimensional coboundary Lie bialgebras through Grassmann algebras. Several mat…
Geometric features of Vessiot--Guldberg Lie algebras of conformal and Killing vector fields on
M. M. Lewandowski, J. de Lucas
This paper locally classifies finite-dimensional Lie algebras of conformal and Killing vector fields on relative to an arbitrary pseudo-Riemannian metric. Several re…