Back to Search Start Over

Elipsoid Monge’a i konfiguracje linii krzywiznowych na powierzchniach i przestrzeniach euklidesowych – uwagi historyczne

Authors :
Ronaldo Garcia
Jorge Sotomayor
Source :
Antiquitates Mathematicae. 10
Publication Year :
2017
Publisher :
Polish Mathematical Society, 2017.

Abstract

This is an essay on the historical landmarks leading to the study of principal confgurations on surfaces in R^3 , their structural stability and further generalizations. Here it is pointed out that in the work of Monge, 1796, are found elements of the qualitative theory of differential equations, founded by Poincare in 1881. Recent development concerning the space R^4 are mentioned. Two open problems are proposed at the end.

Details

ISSN :
23538813 and 18985203
Volume :
10
Database :
OpenAIRE
Journal :
Antiquitates Mathematicae
Accession number :
edsair.doi...........2f5bb99fb31774752b3772b2680a8cb8
Full Text :
https://doi.org/10.14708/am.v10i0.1918