2 papers
math.DG2026
Ricci curvature for fluid models on the torus via Zeitlin's quantization
Sadashige Ishida, Alex Suri
Ricci curvature measures the average stability of geodesics under transverse perturbations, but how it should be defined in infinite dimensions is often unclear. This paper propose…
math.DG2024
Stochastic Euler-Poincaré reduction for central extension
Ali Suri
This paper explores the application of central extensions of Lie groups and Lie algebras to derive the viscous quasi-geostrophic (QGS) equations, with and without Rayleigh friction…