Equivalent Definitions of Very Strict CD(K,N)-spaces
Schultz T (2023)
Journal of Geometric Analysis 33(3): 108.
Zeitschriftenaufsatz
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Abstract / Bemerkung
We show the equivalence of the definitions of very strict CD(K,N)-condition defined, on one hand, using (only) the entropy functionals, and on the other, the full displacement convexity class DCN. In particular, we show that assuming the convexity inequalities for the critical exponent implies it for all the greater exponents. We also establish the existence of optimal transport maps in very strict CD(K,N)-spaces with finite N.
Stichworte
Optimal transport;
Ricci curvature;
Metric measure spaces
Erscheinungsjahr
2023
Zeitschriftentitel
Journal of Geometric Analysis
Band
33
Ausgabe
3
Art.-Nr.
108
ISSN
1050-6926
eISSN
1559-002X
Page URI
https://pub.uni-bielefeld.de/record/2969857
Zitieren
Schultz T. Equivalent Definitions of Very Strict CD(K,N)-spaces. Journal of Geometric Analysis. 2023;33(3): 108.
Schultz, T. (2023). Equivalent Definitions of Very Strict CD(K,N)-spaces. Journal of Geometric Analysis, 33(3), 108. https://doi.org/10.1007/s12220-022-01068-x
Schultz, Timo. 2023. “Equivalent Definitions of Very Strict CD(K,N)-spaces”. Journal of Geometric Analysis 33 (3): 108.
Schultz, T. (2023). Equivalent Definitions of Very Strict CD(K,N)-spaces. Journal of Geometric Analysis 33:108.
Schultz, T., 2023. Equivalent Definitions of Very Strict CD(K,N)-spaces. Journal of Geometric Analysis, 33(3): 108.
T. Schultz, “Equivalent Definitions of Very Strict CD(K,N)-spaces”, Journal of Geometric Analysis, vol. 33, 2023, : 108.
Schultz, T.: Equivalent Definitions of Very Strict CD(K,N)-spaces. Journal of Geometric Analysis. 33, : 108 (2023).
Schultz, Timo. “Equivalent Definitions of Very Strict CD(K,N)-spaces”. Journal of Geometric Analysis 33.3 (2023): 108.
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