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

Research output: Contribution to journal › Article › peer-review

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-Émery criterion.

Original language	English
Article number	114058
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	267
DOIs	https://doi.org/10.1016/j.na.2026.114058
Publication status	Published - 1 Jun 2026

Keywords

Analysis of PDEs
Differential geometry
Functional analysis

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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",

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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

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DO - 10.1016/j.na.2026.114058

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JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

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ER -

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

Abstract

Keywords

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