Nonisoclinic 2-codimensional 4-webs of maximum 2-rank

Document Type

Article

Publication Date

1-1-1987

Abstract

In recent papers, the author has proved that 4-webs W(4, 2, 2) of codimension 2 and maximum 2-rank on a 4-dimensional differentiable manifold are exceptional in the sense that they are not necessarily algebraizable, while maximum 2-rank 2-codimensional d-webs W(d, 2, 2), d >4, are algebraizable. Examples of exceptional isoclinic webs W(4, 2, 2) were given in those papers. In the present paper, the author proves that a polynomial nonisoclinic 3-web W(3, 2, 2) cannot be extended to a nonisoclinic 4-web W(4, 2, 2) and constructs an example of a nonisoclinic 4-web W(4, 2, 2) of maximum 2-rank. © 1987 American Mathematical Society.

Identifier

84968501892 (Scopus)

Publication Title

Proceedings of the American Mathematical Society

External Full Text Location

https://doi.org/10.1090/S0002-9939-1987-0894441-X

e-ISSN

10886826

ISSN

00029939

First Page

701

Last Page

708

Issue

4

Volume

100

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