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Generalized potential functions in differential geometry and information geometry

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URI: https://hdl.handle.net/10016/32029
ISSN: 0219-8878
DOI: https://doi.org/10.1142/S0219887819400024
UXXI: AR/0000023061
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generalized_IJGMMP_2018_ps.pdf (319.05 KB)
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2019-02-01
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World Scientific Publishing
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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.
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Information geometry, Generalized potential functions, Inverse problem
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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.
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DM - GAMA - Artículos de Revistas