Lower N-weighted Ricci curvature bound with ε-range and displacement convexity of entropies

Kazuhiro Kuwae, Yohei Sakurai

Research output: Contribution to journalArticlepeer-review

Abstract

In this article, we provide a characterization of a lower N-weighted Ricci curvature bound for N ∈] − ∞,1] ∪ [n,+∞] with ε-range in terms of a convexity of entropies over Wasserstein space.

Original languageEnglish
JournalUnknown Journal
Publication statusPublished - 2020 Sep 27

Keywords

  • N-weighted Ricci curvature
  • Optimal transport theory

ASJC Scopus subject areas

  • General

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