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math.DG2025
Stochastic perturbation of geodesics on the manifold of Riemannian metrics
Ana Bela Cruzeiro, Ali Suri
In this paper, using diffusion processes, we compute the evolution equation on the manifold of Riemannian metrics for the Lagrangian induced by the stochastic kinetic energy…
math.DG2025
Geodesic interpretation of the global quasi-geostrophic equations
Klas Modin, Ali Suri
We give an interpretation of the global shallow water quasi-geostrophic equations on the sphere $\Sph^2$ as a geodesic equation on the central extension of the quantomorphism group…