Year: 2025
Type: article
Abstract: We study Hessian geometry on warped product manifolds. In particular, we consider the case where the fiber space of the warped product is a Hessian manifold and the base space is an interval. For a given Hessian potential on the fiber space and some warping functions, we find an explicit formula for a Hessian potential and the affine coordinate systems on the warped product manifold. Moreover, we consider the obtained formula from the viewpoint of equiaffine differential geometry.
Source: Information Geometry
Author: Tatsuo Suzuki
Institution: Shibaura Institute of Technology
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,090
OpenAlex ID: W4414017620