Failure of the local-to-global property for CD(K,N) spaces

DOI10.2422/2036-2145.201307_004zbMath1339.53045arXiv1305.6436OpenAlexW2963468449WikidataQ109997973 ScholiaQ109997973MaRDI QIDQ2807091

Tapio Rajala

Publication date: 19 May 2016

Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.6436

zbMATH Keywords

Lebesgue measure\(l^\infty\)-normcompact geodesic metric measure space

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Spaces of measures, convergence of measures (28A33)

Related Items (13)

Example of a highly branching CD space ⋮ A metric stability result for the very strict CD condition ⋮ Isoperimetric inequality in noncompact 𝖬𝖢𝖯 spaces ⋮ Optimal maps and local-to-global property in negative dimensional spaces with Ricci curvature bounded from below ⋮ Equivalent definitions of very strict \textit{CD(K,N)}-spaces ⋮ Topological and Geometric Rigidity for Spaces with Curvature Bounded Below ⋮ The globalization theorem for the curvature-dimension condition ⋮ Sharp Poincaré inequalities under Measure Contraction Property ⋮ Indeterminacy estimates and the size of nodal sets in singular spaces ⋮ On the universal cover and the fundamental group of an \(\mathsf{RCD}^\ast(K,N)\)-space ⋮ Isoperimetric inequality under measure-contraction property ⋮ Independence of synthetic curvature dimension conditions on transport distance exponent ⋮ Failure of topological rigidity results for the measure contraction property

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