On the Blaschke conjecture for 3-webs

Document Type

Article

Publication Date

12-1-2006

Abstract

We find relative differential invariants of orders eight and nine for a planar nonparallelizable 3-web such that their vanishing is necessary and sufficient for a 3-web to be linearizable. This resolves the Blaschke conjecture for 3-webs. We also give the algorithm for determining whether a given 3-web is linearizable, find the linearity condition for 3-webs and establish its relationships to the condition that a plane curve consists of flexes and to the Euler equation in gas-dynamics. © 2006 Mathematica Josephina, Inc.

Identifier

84867974908 (Scopus)

Publication Title

Journal of Geometric Analysis

External Full Text Location

https://doi.org/10.1007/BF02930988

ISSN

10506926

First Page

69

Last Page

115

Issue

1

Volume

16

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