Generalised Potential Functions in Differential Geometry and Information Geometry
Differential Geometry
2019-02-04 v2 Mathematical Physics
math.MP
Abstract
Potential functions can be used as generating potentials of relevant geometric structures for a Riemannian manifold such as the Riemannian metric and affine connections. We study wether 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.
Cite
@article{arxiv.1804.10414,
title = {Generalised Potential Functions in Differential Geometry and Information Geometry},
author = {Florio M. Ciaglia and Giuseppe Marmo and Juan Manuel Pérez-Pardo},
journal= {arXiv preprint arXiv:1804.10414},
year = {2019}
}
Comments
16 pages