Generalised potential functions in differential geometry and information geometry
| Autor: | Juan Manuel Pérez-Pardo, Giuseppe Marmo, Florio M. Ciaglia |
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| Přispěvatelé: | Comunidad de Madrid, Ministerio de Economía y Competitividad (España) |
| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: |
Mathematics - Differential Geometry
Pure mathematics Physics and Astronomy (miscellaneous) FOS: Physical sciences 01 natural sciences 010305 fluids & plasmas 53C99 53Z05 53A40 0103 physical sciences FOS: Mathematics Generalized potential functions Information geometry 010306 general physics Computer Science::Databases Mathematical Physics Mathematics Física Mathematical Physics (math-ph) Riemannian manifold Inverse problem Differential geometry Differential Geometry (math.DG) Metric (mathematics) Affine transformation Mathematics::Differential Geometry |
| Zdroj: | e-Archivo. Repositorio Institucional de la Universidad Carlos III de Madrid instname e-Archivo: Repositorio Institucional de la Universidad Carlos III de Madrid Universidad Carlos III de Madrid (UC3M) |
| Popis: | 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. 16 pages |
| Databáze: | OpenAIRE |
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