Dualistic structures in information geometry
Contact the author: Please use for correspondence this email.
Submission date: 15. Nov. 2022
MSC-Numbers: 53A15, 53B12, 53C15
Keywords and phrases: connections, statistical manifolds, metrics,, divergence functions, warped products, curvature
Download full preprint: PDF (371 kB)
We revisit some important basics of dualistic structures on Riemannian manifolds as a fundamental mathematical concept connecting information geometry, affine geometry and Hessian geometry. Since several statistical manifolds can be seen as warped product of spaces, we conclude this review by some results on warped products of dualistic structures.