Showing math.DGShow all
3 papers · 1 filter
math.DG2025
-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…
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.DG2025
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…