Generalised Potential Functions in Differential Geometry and Information Geometry. (arXiv:1804.10414v2 [math.DG] UPDATED)
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.查看全文