Equivalence of Strong Brunn-Minkowski Inequalities and CD Conditions in Heisenberg Groups
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866929372159541248 |
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| author | Zhang, Juan Zhao, Peibiao |
| author_facet | Zhang, Juan Zhao, Peibiao |
| contents | The present paper investigates the sub-Riemannian version of the equivalence between the curvature-dimension conditions and strong Brunn-Minkowski inequalities in the sub-Riemannian Heisenberg group Hn. We adopt the optimal transport and approximation of Hn developed by Ambrosio and Rigot [1] and combine the celebrated works by M. Magnabosco, L. Portinale and T. Rossi [17] to confirm this. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_05650 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Equivalence of Strong Brunn-Minkowski Inequalities and CD Conditions in Heisenberg Groups Zhang, Juan Zhao, Peibiao Differential Geometry Group Theory The present paper investigates the sub-Riemannian version of the equivalence between the curvature-dimension conditions and strong Brunn-Minkowski inequalities in the sub-Riemannian Heisenberg group Hn. We adopt the optimal transport and approximation of Hn developed by Ambrosio and Rigot [1] and combine the celebrated works by M. Magnabosco, L. Portinale and T. Rossi [17] to confirm this. |
| title | Equivalence of Strong Brunn-Minkowski Inequalities and CD Conditions in Heisenberg Groups |
| topic | Differential Geometry Group Theory |
| url | https://arxiv.org/abs/2306.05650 |