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

Kazuhiro Kuwae; Yohei Sakurai

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

Advanced Institute for Materials Research (AIMR)

Research output: Contribution to journal › Article › peer-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 language	English
Journal	Unknown Journal
Publication status	Published - 2020 Sep 27

Keywords

N-weighted Ricci curvature
Optimal transport theory

ASJC Scopus subject areas

General

Fingerprint Dive into the research topics of 'Lower N-weighted Ricci curvature bound with ε-range and displacement convexity of entropies'. Together they form a unique fingerprint.

Cite this

@article{3788d1ad0c034014810df7f5f24ed4c0,

title = "Lower N-weighted Ricci curvature bound with ε-range and displacement convexity of entropies",

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.",

keywords = "N-weighted Ricci curvature, Optimal transport theory",

author = "Kazuhiro Kuwae and Yohei Sakurai",

year = "2020",

month = sep,

day = "27",

language = "English",

journal = "[No source information available]",

}

TY - JOUR

T1 - Lower N-weighted Ricci curvature bound with ε-range and displacement convexity of entropies

AU - Kuwae, Kazuhiro

AU - Sakurai, Yohei

PY - 2020/9/27

Y1 - 2020/9/27

N2 - 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.

AB - 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.

KW - N-weighted Ricci curvature

KW - Optimal transport theory

UR - http://www.scopus.com/inward/record.url?scp=85098417430&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85098417430&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:85098417430

JO - [No source information available]

JF - [No source information available]

ER -