Continuing her earlier analysis of the differential structure of metric measure spaces, Gigli makes a proposal by showing that every metric measure space possesses a first-order differential structure and that a second-order one arises when a lower Ricci bound is imposed. Her constructions are analytic in nature, she says, in the sense that they provide tools to make computations on metric measure spaces without having an a priori relation with their geometry. Annotation ©2018 Ringgold, Inc., Portland, OR (protoview.com)
