Contractive transport maps from S2 to nearly spherical surfaces with positive Ricci curvature

Jordan Serres

doi:10.1016/j.na.2026.114058

Contractive transport maps from S2 to nearly spherical surfaces with positive Ricci curvature

Jordan Serres

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

We prove that every nearly spherical, positively curved surface is the contractive, volume-preserving image of a round sphere. The proof combines three main tools: the Ricci flow on surfaces, the Kim-Milman construction, and a multiscale Bakry-Émery criterion.

langue originale	Anglais
Numéro d'article	114058
journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	267
Les DOIs	https://doi.org/10.1016/j.na.2026.114058
état	Publié - 1 juin 2026

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10.1016/j.na.2026.114058

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title = "Contractive transport maps from S2 to nearly spherical surfaces with positive Ricci curvature",

abstract = "We prove that every nearly spherical, positively curved surface is the contractive, volume-preserving image of a round sphere. The proof combines three main tools: the Ricci flow on surfaces, the Kim-Milman construction, and a multiscale Bakry-{\'E}mery criterion.",

keywords = "Analysis of PDEs, Differential geometry, Functional analysis",

author = "Jordan Serres",

note = "Publisher Copyright: {\textcopyright} 2026 Elsevier Ltd.",

year = "2026",

month = jun,

day = "1",

doi = "10.1016/j.na.2026.114058",

language = "English",

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T1 - Contractive transport maps from S2 to nearly spherical surfaces with positive Ricci curvature

AU - Serres, Jordan

PY - 2026/6/1

Y1 - 2026/6/1

N2 - We prove that every nearly spherical, positively curved surface is the contractive, volume-preserving image of a round sphere. The proof combines three main tools: the Ricci flow on surfaces, the Kim-Milman construction, and a multiscale Bakry-Émery criterion.

AB - We prove that every nearly spherical, positively curved surface is the contractive, volume-preserving image of a round sphere. The proof combines three main tools: the Ricci flow on surfaces, the Kim-Milman construction, and a multiscale Bakry-Émery criterion.

KW - Analysis of PDEs

KW - Differential geometry

KW - Functional analysis

UR - https://www.scopus.com/pages/publications/105028006764

U2 - 10.1016/j.na.2026.114058

DO - 10.1016/j.na.2026.114058

M3 - Article

AN - SCOPUS:105028006764

SN - 0362-546X

VL - 267

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

M1 - 114058

ER -

Contractive transport maps from S2 to nearly spherical surfaces with positive Ricci curvature

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