2 citations · 4 across the 7 of their papers we have counts for
4 papers · 1 filter
-contact Lie systems: theory and applications
Javier de Lucas, Xavier Rivas, Tomasz Sobczak
This paper introduces a new class of Lie systems that are Hamiltonian relative to a -contact manifold. We show that a recent distributional approach to -contact manifolds alo…
Marsden--Meyer--Weinstein reduction for -contact field theories
J. de Lucas, X. Rivas, S. Vilarino +1
This work devises a Marsden--Meyer--Weinstein -contact reduction. Our techniques are illustrated with several examples of mathematical and physical relevance. As a byproduct, we…
Brackets in multicontact geometry and multisymplectization
Manuel de León, Rubén Izquierdo-López, Xavier Rivas
In this paper we introduce a graded bracket of forms on multicontact manifolds. This bracket satisfies a graded Jacobi identity as well as two different versions of the Leibniz rul…
Foundations on k-contact geometry
Javier de Lucas, Xavier Rivas, Tomasz Sobczak
k-Contact geometry is a generalisation of contact geometry to analyse field theories. We develop an approach to k-contact geometry based on distributions that are distributionally…