Samuelson's webs

Document Type

Article

Publication Date

2-1-2010

Abstract

A study was conducted by researchers to consider Samuelson's webs and define their rank. The main results of the study was the theorem that the rank of Samuelson's webs did not exceed 6 and conditions for this rank to be maximal for general and singular Samuelson's webs. An interpretation in terms of webs for the Maxwell-Samuelson area condition was suggested in the study with the form of a quadratic relation between differential forms determining a planar 4-web. This clarified the relation between the Maxwell-Samuelson condition and the Abel equations. This observation was used to obtain a system of differential equations, which were similar to the Abel equations and were called Samuelson's equations. The main results of the study revealed the the theorem that stated that the rank of a Samuelson's web was unable to exceed 6 and found conditions for this rank to be maximal.

Identifier

77950439849 (Scopus)

Publication Title

Doklady Mathematics

External Full Text Location

https://doi.org/10.1134/S1064562410010138

ISSN

10645624

First Page

43

Last Page

46

Issue

1

Volume

81

This document is currently not available here.

Share

COinS