On the geometry of irreversible metric-measure spaces: convergence, stability and analytic aspects (Q2065089)
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| Language | Label | Description | Also known as |
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| English | On the geometry of irreversible metric-measure spaces: convergence, stability and analytic aspects |
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On the geometry of irreversible metric-measure spaces: convergence, stability and analytic aspects (English)
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7 January 2022
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Results for metric-measure spaces concerning the Gromov-Hausdorff topology, optimal transport, and the synthetic notion of Ricci curvature are generalized to the case of an irreversible metric. Then, in particular in the non-compact case, the concepts depend on a non-decreasing function \(\Theta=\Theta(r)\ge 1\) which bounds the reversibility on a geodesic ball of radius \(r.\)
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irreversible metric space
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reversibility
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Gromov-Hausdorff topology
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optimal transport
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weak curvature-dimension condition
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Finsler manifold
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