Curvatures of Statistical Structures - Barbara Opozda
Author : Barbara Opozda
DOI URL : http://dx.doi.org/10.1007/978-3-319-25040-3_26
Video : http://www.youtube.com/watch?v=b8TsyqMJJaM
Slides: Opozda_curvature statistical structure.pdf
Presentation : https://www.see.asso.fr/node/14279
Creative Commons Attribution-ShareAlike 4.0 International
Curvature properties for statistical structures are studied. The study deals with the curvature tensor of statistical connections and their duals as well as the Ricci tensor of the connections, Laplacians and the curvature operator. Two concepts of sectional curvature are introduced. The meaning of the notions is illustrated by presenting few exemplary theorems.