Generalized potential functions in differential geometry and information geometry

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dc.contributor.author Ciaglia, F. M.
dc.contributor.author Marmo, G
dc.contributor.author Pérez Pardo, Juan Manuel
dc.date.accessioned 2021-02-25T11:13:07Z
dc.date.available 2021-02-25T11:13:07Z
dc.date.issued 2019-02-01
dc.identifier.bibliographicCitation Ciaglia, 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.
dc.identifier.issn 0219-8878
dc.identifier.uri http://hdl.handle.net/10016/32029
dc.description.abstract Potential 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.
dc.description.sponsorship The authors want to thank the scientific committee of the “XXVI International Fall Workshop on Geometry and Physics” for giving them the opportunity to present this research. G.M. acknowledges financial support from the Spanish Ministry of Economy and Competitiveness, through the Severo Ochoa Programme for Centres of Excellence in RD (SEV-2015/0554), and would like to thank the support provided by the Santander/UC3M Excellence Chair Programme 2016/2017. J.M.P.P. was supported by QUITEMAD+ S2013/ICE-2801, the Spanish MINECO grant MTM2017-84098-P and the “Juan de la Cierva - Incorporación” Proyect 2018/00002/001.
dc.format.extent 13
dc.language.iso eng
dc.publisher World Scientific Publishing
dc.rights © 2018 World Scientific Publishing.
dc.subject.other Information geometry
dc.subject.other Generalized potential functions
dc.subject.other Inverse problem
dc.title Generalized potential functions in differential geometry and information geometry
dc.type article
dc.subject.eciencia Física
dc.identifier.doi https://doi.org/10.1142/S0219887819400024
dc.rights.accessRights openAccess
dc.relation.projectID Comunidad de Madrid. S2013/ICE-2801
dc.relation.projectID Gobierno de España. IJCI-2015-23308
dc.relation.projectID Gobierno de España. MTM2017-84098-P
dc.type.version acceptedVersion
dc.identifier.publicationtitle International Journal of Geometric Methods in Modern Physics
dc.identifier.publicationvolume 16
dc.identifier.uxxi AR/0000023061
dc.contributor.funder Comunidad de Madrid
dc.contributor.funder Ministerio de Economía y Competitividad (España)
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