Stochastic perturbation of geodesics on the manifold of Riemannian metrics
Stochastic perturbation of geodesics on the manifold of Riemannian metrics
In this paper, using diffusion processes, we compute the evolution equation on the manifold of Riemannian metrics for the Lagrangian induced by the $L^2$ stochastic kinetic energy functional.
Ana Bela Cruzeiro、Ali Suri
数学
Ana Bela Cruzeiro,Ali Suri.Stochastic perturbation of geodesics on the manifold of Riemannian metrics[EB/OL].(2025-07-22)[2025-08-10].https://arxiv.org/abs/2507.16959.点此复制
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