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Stochastic perturbation of geodesics on the manifold of Riemannian metrics

Stochastic perturbation of geodesics on the manifold of Riemannian metrics

来源:Arxiv_logoArxiv
英文摘要

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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