3 papers
math-ph2026
Liouville integrability of Beltrami-Maxwell fields with sources: A geometric theory of magnetic surfaces
Shin-itiro Goto
We study classical Maxwell fields with non-trivial sources in four-dimensional Minkowski spacetime. In particular, contact and symplectic geometric aspects are discussed. As a poin…
math-ph2024
From the Fokker-Planck equation to a contact Hamiltonian system
Shin-itiro Goto
The Fokker-Planck equation is one of the fundamental equations in nonequilibrium statistical mechanics, and this equation is known to be derived from the Wasserstein gradient flow…
math-ph2023
Contact topology and electromagnetism: The Weinstein conjecture and Beltrami-Maxwell fields
Shin-itiro Goto
We draw connections between contact topology and Maxwell fields in vacuo on 3-dimensional closed Riemannian submanifolds in 4-dimensional Lorentzian manifolds. This is accomplished…