activity
20232026
most citedA symplectic approach to Schrödinger equations in the infinite-dimensional unbounded setting

2 citations · 4 across the 7 of their papers we have counts for

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Showing 2025Show 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

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★ 1 cited

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…