Convergence of metric measure spaces satisfying the CD condition for negative values of the dimension parameter

Convergence of metric measure spaces satisfying the CD condition for negative values of the dimension parameter

We study the problem of whether the curvature-dimension condition with negative values of the generalized dimension parameter is stable under a suitable notion of convergence. To this purpose, first of all we propose an appropriate setting to introduce the CD(K,N) condition for N

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Veröffentlicht in:Nonlinear analysis 2023-12, Vol.237, p.113366, Article 113366
Hauptverfasser: Magnabosco, Mattia, Rigoni, Chiara, Sosa, Gerardo
Format: Artikel
Sprache:eng
Schlagworte:
Convergence
Curvature-dimension condition
Metric measure space
Negative dimension
Stability result
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Zusammenfassung:We study the problem of whether the curvature-dimension condition with negative values of the generalized dimension parameter is stable under a suitable notion of convergence. To this purpose, first of all we propose an appropriate setting to introduce the CD(K,N) condition for N
ISSN:0362-546X
DOI:10.1016/j.na.2023.113366