In this paper we provide an analysis, both historical and mathematical, of two joint papers on the theory of connections by Ãlie Cartan and Jan Arnoldus Schouten that were published in 1926. These papers were the result of a fertile collaboration between the two eminent geometers that flourished in the two-year period 1925-1926. We describe the birth and the development of their scientific relationship especially in the light of unpublished sources that, on the one hand, offer valuable insight into their common research interests and, on the other hand, provide a vivid picture of Cartan's and Schouten's different technical choices. While the first part of this work is preeminently of a historical character, the second part offers a modern mathematical treatment of some contents of the two contributions.
Cartan, Schouten and the search for connection / A. Cogliati, P. Mastrolia. - In: HISTORIA MATHEMATICA. - ISSN 0315-0860. - 45:1(2018 Feb), pp. 39-74.
|Titolo:||Cartan, Schouten and the search for connection|
COGLIATI, ALBERTO (Primo) (Corresponding)
MASTROLIA, PAOLO (Ultimo)
|Parole Chiave:||absolute parallelism; connection theory; Lie groups; Riemannian geometry; mathematics (all); history|
|Settore Scientifico Disciplinare:||Settore MAT/03 - Geometria|
Settore MAT/04 - Matematiche Complementari
|Data di pubblicazione:||feb-2018|
|Data ahead of print / Data di stampa:||2017|
|Digital Object Identifier (DOI):||http://dx.doi.org/10.1016/j.hm.2017.09.001|
|Appare nelle tipologie:||01 - Articolo su periodico|