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arXiv · 2507.16959

Stochastic perturbation of geodesics on the manifold of Riemannian metrics

Ana Bela Cruzeiro·Ali Suri
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Abstract

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.

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Ana Bela Cruzeiro, Ali Suri. 2025-07-22. Stochastic perturbation of geodesics on the manifold of Riemannian metrics. https://arxiv.org/abs/2507.16959

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