Stochastic Perturbation of Geodesics on the Manifold of Riemannian Metrics

会议论文
发表日期：

2026年

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Ana Bela Cruzeiro,
Ali Suri

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.

In this paper, using diffusion processes, we compute&#xa0;the evolution equation on the manifold of Riemannian metrics for&#xa0;the Lagrangian induced by the \(L^2\) stochastic kinetic energy functional.

Stochastic Perturbation of Geodesics on the Manifold of Riemannian Metrics

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.