Abstract
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.
Research supported by the NCN grant 2013/11/B/ST1/02889.
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Opozda, B. (2015). Curvatures of Statistical Structures. In: Nielsen, F., Barbaresco, F. (eds) Geometric Science of Information. GSI 2015. Lecture Notes in Computer Science(), vol 9389. Springer, Cham. https://doi.org/10.1007/978-3-319-25040-3_26
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DOI: https://doi.org/10.1007/978-3-319-25040-3_26
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