3 papers
math.DG2026
Dirichlet--Neumann duality for the Basic Spectrum of Riemannian Submersions: A Supersymmetric Perspective
Vicent Gimeno i Garcia, Paulo Henryque da Costa Silva
This manuscript investigates the spectral geometry of Riemannian submersions whose fibers have a basic mean curvature. By restricting the Laplace--Beltrami operator to the space of…
quant-ph2026
Lie algebraic invariants in quantum linear optics
Pablo V. Parellada, Vicent Gimeno i Garcia, Julio José Moyano-Fernández +1
Quantum linear optics without post-selection is not powerful enough to produce any quantum state from a given input state. This limits its utility since some applications require e…
math.DG2025
Criteria for parabolicity and hyperbolicity of conductive Riemannian manifolds
Vicent Gimeno i Garcia, Ana Hurtado, Steen Markvorsen +1
Motivated by the physics of anisotropic conductive materials we consider a linear elliptic operator of divergence type on a Riemannian manifold . The…