Stochastic perturbation of geodesics on the manifold of Riemannian metrics
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866915405542457344 |
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| author | Cruzeiro, Ana Bela Suri, Ali |
| author_facet | Cruzeiro, Ana Bela Suri, Ali |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_16959 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Stochastic perturbation of geodesics on the manifold of Riemannian metrics Cruzeiro, Ana Bela Suri, Ali Differential Geometry 58D17, 58J65, 70L10 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. |
| title | Stochastic perturbation of geodesics on the manifold of Riemannian metrics |
| topic | Differential Geometry 58D17, 58J65, 70L10 |
| url | https://arxiv.org/abs/2507.16959 |