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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2307.11451 |
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| _version_ | 1866910591856148480 |
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| author | Di Marino, S. Murro, S. Radici, E. |
| author_facet | Di Marino, S. Murro, S. Radici, E. |
| contents | The goal of this paper is to derive the so-called five gradients inequality for optimal transport theory for general cost functions on two class of differentiable manifolds: locally compact Lie groups and compact Riemannian manifolds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_11451 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The five gradients inequality on differentiable manifolds Di Marino, S. Murro, S. Radici, E. Analysis of PDEs Mathematical Physics Differential Geometry Metric Geometry Primary 49Q20, 35A15, Secondary 53C21, 22E30 The goal of this paper is to derive the so-called five gradients inequality for optimal transport theory for general cost functions on two class of differentiable manifolds: locally compact Lie groups and compact Riemannian manifolds. |
| title | The five gradients inequality on differentiable manifolds |
| topic | Analysis of PDEs Mathematical Physics Differential Geometry Metric Geometry Primary 49Q20, 35A15, Secondary 53C21, 22E30 |
| url | https://arxiv.org/abs/2307.11451 |