RT Journal Article
T1 Generalized potential functions in differential geometry and information geometry
T2 Generalised potential functions in differential geometry and information geometry
A1 Ciaglia, F. M.
A1 Marmo, G
A1 Pérez Pardo, Juan Manuel
AB 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.
PB World Scientific Publishing
SN 0219-8878
YR 2019
FD 2019-02-01
LK https://hdl.handle.net/10016/32029
UL https://hdl.handle.net/10016/32029
LA eng
NO 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.
DS e-Archivo
RD 1 sept. 2024