4 citations · 4 across the 6 of their papers we have counts for
6 papers
The kinematic structures and the inertial geometry of a moving charge
César S. López-Monsalvo
We ask how much of the geometry a charged particle moves in is fixed by its motion, and how much a particle must bring. We ask of a symplectic structure only that it relate velocit…
Lissajous-type orbits on a sphere and their non-Riemannian geometry
César Simón López-Monsalvo, Sergio Islas-Ramírez, Alberto Rubio Ponce
A charged test particle is confined to the round sphere in a uniform ambient magnetic field. We reduce its motion to quadrature by elementary means and solve explicitly the family…
A closure criterion for electromagnetic curves on the sphere in a uniform ambient field
C S López-Monsalvo
We consider the motion of a charged test particle confined to the round unit sphere in a uniform ambient magnetic field. We use an extension of Noether's theorem for systems with m…
The Gödel Universe as a Superconductor
Daniel Flores-Alfonso, Cesar S. Lopez-Monsalvo, Alberto Rubio-Ponce
Material science and engineering have benefited from the use of geometric and topological tools. A material medium can mimic effective gravitational fields while spacetime metrics…
Gravitational Waves from Thurston Geometries
Daniel Flores-Alfonso, Cesar S. Lopez-Monsalvo, Marco Maceda
It has been established that the famous three-dimensional Thurston geometries have four intrinsically Lorentzian analogs. We explore these spacetimes in three-dimensional general r…
The geometry of induced currents in two dimensional media
Cesar S. Lopez-Monsalvo, Servando Vargas-Serdio, Julian A. Alzate-Cardenas +1
We present a framework that allows us to clearly identify the geometric features underlying the phenomenon of superconductivity in two dimensional materials. In particular, we show…