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Generalized potential functions in differential geometry and information geometry

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dc.affiliation.dptoUC3M. Departamento de Matemáticases
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Análisis Aplicadoes
dc.contributor.authorCiaglia, F. M.
dc.contributor.authorMarmo, G
dc.contributor.authorPérez Pardo, Juan Manuel
dc.contributor.funderComunidad de Madrides
dc.contributor.funderMinisterio de Economía y Competitividad (España)es
dc.date.accessioned2021-02-25T11:13:07Z
dc.date.available2021-02-25T11:13:07Z
dc.date.issued2019-02-01
dc.description.abstractPotential 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.en
dc.description.sponsorshipThe 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.en
dc.format.extent13
dc.identifier.bibliographicCitationCiaglia, 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.en
dc.identifier.doihttps://doi.org/10.1142/S0219887819400024
dc.identifier.issn0219-8878
dc.identifier.publicationtitleInternational Journal of Geometric Methods in Modern Physicsen
dc.identifier.publicationvolume16
dc.identifier.urihttps://hdl.handle.net/10016/32029
dc.identifier.uxxiAR/0000023061
dc.language.isoengen
dc.publisherWorld Scientific Publishingen
dc.relation.projectIDComunidad de Madrid. S2013/ICE-2801es
dc.relation.projectIDGobierno de España. IJCI-2015-23308es
dc.relation.projectIDGobierno de España. MTM2017-84098-Pes
dc.rights© 2018 World Scientific Publishing.en
dc.rights.accessRightsopen accessen
dc.subject.ecienciaFísicaes
dc.subject.otherInformation geometryen
dc.subject.otherGeneralized potential functionsen
dc.subject.otherInverse problemen
dc.titleGeneralized potential functions in differential geometry and information geometryen
dc.title.alternativeGeneralised potential functions in differential geometry and information geometryen
dc.typeresearch article*
dc.type.hasVersionAM*
dspace.entity.typePublication
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