Calculus of Variations and Geometric Measure Theory
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F. Cavalletti - A. Mondino

A review of Lorentzian synthetic theory of timelike Ricci curvature bounds

created by cavallett on 28 Apr 2022



Inserted: 28 apr 2022
Last Updated: 28 apr 2022

Year: 2022


The scope of this survey is to give a self-contained introduction to synthetic timelike Ricci curvature bounds for (possibly non-smooth) Lorentzian spaces via optimal transport & entropy tools, including a synthetic version of Hawking’s singularity theorem and a synthetic characterisation of Einstein’s vacuum equations. We will also discuss some motivations arising from the smooth world and some possible directions for future research.


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