Ciaglia, F. M.Marmo, GPérez Pardo, Juan Manuel2021-02-252021-02-252019-02-01Ciaglia, F. M., Marmo, G. y Pérez Pardo, J.M. (2018). Generalized potential functions in differential geometry and information geometry. International Journal of Geometric Methods in Modern Physics, 16(01), 1940002.0219-8878https://hdl.handle.net/10016/32029Potential functions can be used for generating potentials of relevant geometric structures for a Riemannian manifold such as the Riemannian metric and affine connections. We study whether this procedure can also be applied to tensors of rank four and find a negative answer. We study this from the perspective of solving the inverse problem and also from an intrinsic point of view.13eng© 2018 World Scientific Publishing.Information geometryGeneralized potential functionsInverse problemGeneralized potential functions in differential geometry and information geometryGeneralised potential functions in differential geometry and information geometryresearch articleFísicahttps://doi.org/10.1142/S0219887819400024open accessInternational Journal of Geometric Methods in Modern Physics16AR/0000023061