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Cartan, Schouten and the search for connection
Historia Mathematica ( IF 0.5 ) Pub Date : 2018-02-01 , DOI: 10.1016/j.hm.2017.09.001
A. Cogliati , P. Mastrolia

Abstract In this paper we provide an analysis, both historical and mathematical, of two joint papers on the theory of connections by Elie 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 We describe the birth and the development of their scientific relationship especially in the light of unpublished sources that, on the one hand, offer valuable insight into their common research interests and, on the other hand, provide a vivid picture of Cartan's and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.

中文翻译:

Cartan、Schouten 和寻找联系

摘要 在本文中,我们对 Elie Cartan 和 Jan Arnoldus Schouten 于 1926 年发表的关于联系理论的两篇联合论文进行了历史和数学分析。这些论文是两位杰出几何学家之间富有成效的合作的结果在 1925 年至 1926 年的两年期间蓬勃发展。我们描述了他们科学关系的诞生和发展,特别是根据未发表的来源,一方面为他们共同的研究兴趣提供了宝贵的见解,另一方面,提供了 Cartan 和 Schouten 不同技术的生动画面。选择。虽然这项工作的第一部分具有突出的历史特征,但第二部分对两篇贡献的某些内容进行了现代数学处理。
更新日期:2018-02-01
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