Javier de Lucas

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math.DG2026

Jet Bundles as Higher-Order Polarised $k$ -Contact Manifolds

Javier de Lucas

Let $I ¨ : E \to Q$ be a fibred manifold, with $dim Q = n$ and rank $m$ . We prove that the Cartan distribution $C_{I ¨}^{r} $ on $J^{r} I ¨ $ is an $N_{I ¨}^{r} $ -contact distribution, where $N^r_Ï=m\b…

math.DG2025

Marsden--Meyer--Weinstein reduction for $k$ -contact field theories

J. de Lucas, X. Rivas, S. Vilarino +1

This work devises a Marsden--Meyer--Weinstein $k$ -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…

Jet Bundles as Higher-Order Polarised k-Contact Manifolds

Marsden--Meyer--Weinstein reduction for k-contact field theories

Foundations on k-contact geometry

Jet Bundles as Higher-Order Polarised $k$ -Contact Manifolds

Marsden--Meyer--Weinstein reduction for $k$ -contact field theories