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Metric measure spaces and synthetic Ricci bounds: fundamental concepts and recent developments
KT Sturm - European Congress of Mathematics, 2023 - ems.press
Metric measure spaces with synthetic Ricci bounds have attracted great interest in recent
years, accompanied by spectacular breakthroughs and deep new insights. In this survey, I …
years, accompanied by spectacular breakthroughs and deep new insights. In this survey, I …
Failure of curvature-dimension conditions on sub-Riemannian manifolds via tangent isometries
We prove that, on any sub-Riemannian manifold endowed with a positive smooth measure,
the Bakry–Émery inequality for the corresponding sub-Laplacian, 1 2 Δ (‖∇ u‖ 2)≥ g (∇ …
the Bakry–Émery inequality for the corresponding sub-Laplacian, 1 2 Δ (‖∇ u‖ 2)≥ g (∇ …
Inscribed radius bounds for lower Ricci bounded metric measure spaces with mean convex boundary
Consider an essentially nonbranching metric measure space with the measure contraction
property of Ohta and Sturm, or with a Ricci curvature lower bound in the sense of Lott, Sturm …
property of Ohta and Sturm, or with a Ricci curvature lower bound in the sense of Lott, Sturm …
Glued spaces and lower curvature bounds
C Ketterer - arxiv preprint arxiv:2408.13137, 2024 - arxiv.org
In this short note we survey theorems and provide conjectures on gluing constructions under
lower curvature bounds in smooth and non-smooth context. Focusing on synthetic lower …
lower curvature bounds in smooth and non-smooth context. Focusing on synthetic lower …
[PDF][PDF] Convex compact surfaces with no bound on their synthetic Ricci curvature
C Vernicos - 2022 - hal.science
Convex compact surfaces with no bound on their synthetic Ricci curvature Page 1 HAL Id:
hal-01922868 https://hal.science/hal-01922868v1 Preprint submitted on 14 Nov 2018 (v1), last …
hal-01922868 https://hal.science/hal-01922868v1 Preprint submitted on 14 Nov 2018 (v1), last …