On the genesis of the Cartan-Kähler theory
type: Item
instance of: scholarly article
title: On the genesis of the Cartan-Kähler theory
zbMATH Open document ID: 1221.01070
author: Alberto Cogliati
published in: Archive for History of Exact Sciences
publication date: 2011-07-01T00:00:00Z
review text: The author attempts a specific analysis of Cartan's works laying foundations of what nowadays is known as the Cartan-Kähler theory. The study of Cartan's contribution is preceded by a presentation of the historical context in the early 1890s in which Cartan's ideas were conceived. Special attention is paid to contributions by Engel and von Weber on Pfaffian systems that laid foundations for the development of Cartan's theory of exterior differential systems.
reviewed by: Svitlana P. Rogovchenko
Mathematics Subject Classification ID: 01A55
Mathematics Subject Classification ID: 01A60
Mathematics Subject Classification ID: 58-03
Mathematics Subject Classification ID: 58A15
Mathematics Subject Classification ID: 58A17
zbMATH DE Number: 5916733
zbMATH Keywords: Pfaffian systems
zbMATH Keywords: exterior differential systems
zbMATH Keywords: Cartan-Kähler theory
MaRDI profile type: Publication
full work available at URL: s00407-011-0081-6
OpenAlex ID: W2018926461
cites work: Q3139893
cites work: Q4480945
cites work: Frobenius, Cartan, and the problem of Pfaff
cites work: Q4449111
cites work: Differential forms -- Cartan to De Rham
cites work: Q4849745
cites work: Q4942663
cites work: Q4496847
DOI: 10.1007/S00407-011-0081-6
description: scientific article; zbMATH DE number 5916733