3 papers
quant-ph2025
Optimal Transport of a Free Quantum Particle and its Shape Space Interpretation
Bernadette Lessel
A solution of the free Schrödinger equation is investigated by means of Optimal transport. The curve of probability measures this solution defines is shown to be an absolutel…
math.MG2020
Differentiable maps between Wasserstein spaces
Bernadette Lessel, Thomas Schick
A notion of differentiability is being proposed for maps between Wasserstein spaces of order 2 of smooth, connected and complete Riemannian manifolds. Due to the nature of the tang…
gr-qc2012
Geometry of higher dimensional black holes
Bernadette Lessel
This article investigates higher dimensional vacuum solutions of the Einstein equations. Generalizations of the definitions of spherical and axial symmetry to higher dimensions are…