The Five Gradients Inequality on Differentiable Manifolds
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES(2024)
摘要
The goal of this paper is to derive the so-called five gradients inequalityfor optimal transport theory for general cost functions on two class ofdifferentiable manifolds: locally compact Lie groups and compact Riemannianmanifolds.
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关键词
Five gradients inequality,optimal transport,compact Riemannian manifolds,locally compact Lie groups
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