collaborators

5 papers

math.DG2026

Jet Bundles as Higher-Order Polarised -Contact Manifolds

Javier de Lucas

Let be a fibred manifold, with and rank . We prove that the Cartan distribution on is an -contact distribution, where $N^r_π=m\b…

math-ph2026

Hamilton--Jacobi theory for non-conservative field theories in the -contact framework

Javier de Lucas, Julia Lange, Xavier Rivas +1

This article develops a Hamilton--Jacobi theory for non-conservative classical field theories, with particular emphasis on dissipative systems, in the framework of co-oriented k-co…

math-ph2025

A -contact Geometrical Approach to Pseudo-Gauge Transformation

Mykhailo Hontarenko, Javier de Lucas, Adam Maskalaniec

We propose a starting point to the geometric description for the pseudo-gauge ambiguity in relativistic hydrodynamics, showing that it corresponds to the freedom to redefine the th…

math.DG2025

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…

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…