Three-Webs Defined by Symmetric Functions

Three-Webs Defined by Symmetric Functions We study local differential-geometrical properties of curvilinear k-webs defined by symmetric functions (webs SW(k)). This class of k-webs contains in particular algebraic rectilinear k-webs defined by algebraic curves of genus 0. On a web SW(3), there are three three-parameter families of closed Thomsen configurations. We find equations of a rectilinear web SW(k) in terms of adapted coordinates and prove that the curvature of a symmetric three-web is a skew-symmetric function with respect to adapted coordinates. In conclusion, we formulate some open problems. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Russian Mathematics Springer Journals

Three-Webs Defined by Symmetric Functions

Loading next page...
 
/lp/springer_journal/three-webs-defined-by-symmetric-functions-hQUtFLBtx3
Publisher
Springer Journals
Copyright
Copyright © 2018 by Allerton Press, Inc.
Subject
Mathematics; Mathematics, general
ISSN
1066-369X
eISSN
1934-810X
D.O.I.
10.3103/S1066369X18060063
Publisher site
See Article on Publisher Site

Abstract

We study local differential-geometrical properties of curvilinear k-webs defined by symmetric functions (webs SW(k)). This class of k-webs contains in particular algebraic rectilinear k-webs defined by algebraic curves of genus 0. On a web SW(3), there are three three-parameter families of closed Thomsen configurations. We find equations of a rectilinear web SW(k) in terms of adapted coordinates and prove that the curvature of a symmetric three-web is a skew-symmetric function with respect to adapted coordinates. In conclusion, we formulate some open problems.

Journal

Russian MathematicsSpringer Journals

Published: May 30, 2018

References

You’re reading a free preview. Subscribe to read the entire article.


DeepDyve is your
personal research library

It’s your single place to instantly
discover and read the research
that matters to you.

Enjoy affordable access to
over 18 million articles from more than
15,000 peer-reviewed journals.

All for just $49/month

Explore the DeepDyve Library

Search

Query the DeepDyve database, plus search all of PubMed and Google Scholar seamlessly

Organize

Save any article or search result from DeepDyve, PubMed, and Google Scholar... all in one place.

Access

Get unlimited, online access to over 18 million full-text articles from more than 15,000 scientific journals.

Your journals are on DeepDyve

Read from thousands of the leading scholarly journals from SpringerNature, Elsevier, Wiley-Blackwell, Oxford University Press and more.

All the latest content is available, no embargo periods.

See the journals in your area

DeepDyve

Freelancer

DeepDyve

Pro

Price

FREE

$49/month
$360/year

Save searches from
Google Scholar,
PubMed

Create lists to
organize your research

Export lists, citations

Read DeepDyve articles

Abstract access only

Unlimited access to over
18 million full-text articles

Print

20 pages / month

PDF Discount

20% off