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RESEARCH PRODUCT

Second-Order Calculus on RCD Spaces

Enrico PasqualettoNicola Gigli

subject

Class (set theory)Computer scienceMetric (mathematics)CalculusmedicineOrder (group theory)Differential calculusMathematics::Differential Geometrymedicine.diseaseMeasure (mathematics)Calculus (medicine)

description

In this conclusive chapter we introduce the class of those metric measure spaces that satisfy the Riemannian curvature-dimension condition, briefly called RCD spaces, and we develop a thorough second-order differential calculus over these structures.

https://doi.org/10.1007/978-3-030-38613-9_6