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arXiv · 1804.10414

Generalised Potential Functions in Differential Geometry and Information Geometry

Florio M. Ciaglia·Giuseppe Marmo·Juan Manuel Pérez-Pardo
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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.

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Florio M. Ciaglia, Giuseppe Marmo, Juan Manuel Pérez-Pardo. 2019-02-01. Generalised Potential Functions in Differential Geometry and Information Geometry. https://doi.org/10.1142/s0219887819400024

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