Cartan,Schouten and the search for connection |
| |
Authors: | A Cogliati P Mastrolia |
| |
Institution: | Dipartimento di Matematica, Università degli Studi di Milano, Via Saldini 50, Milano, 20133, Italy |
| |
Abstract: | In this paper we provide an analysis, both historical and mathematical, of two joint papers on the theory of connections by Élie 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 We describe the birth and the development of their scientific relationship especially in the light of unpublished sources that, on the one hand, offer valuable insight into their common research interests and, on the other hand, provide a vivid picture of Cartan's and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. |
| |
Keywords: | 01A60 53B20 53B05 Lie groups Connection theory Riemannian geometry Absolute parallelism |
本文献已被 ScienceDirect 等数据库收录! |
|