On Singular Projective Deformations of Two Second Class Totally Focal Pseudocongruences of Planes

Document Type

Article

Publication Date

1-1-1988

Abstract

Let C: L →· Ḹ be a projective deformation of the second order of two totally focal pseudocongruences L and L of (m-l)-planes in projective spaces Рn and Ρ-n, 2m-1 ≤ n < 3m-1, and let K be a collineation realizing such a C. The deformation С is said to be weakly singular, singular, or α-strongly singular, α – 3,4,…., if the collineation K gives projective deformations of order 1, 2 or α of all corresponding focal surfaces of L and L. It is proved that С is weakly singular and conditions are found for С to be singular. The pseudocongruences L and L are identical if and only if С is 3-strongly singular. © 1988, Hindawi Publishing Corporation. All rights reserved.

Identifier

84958732369 (Scopus)

Publication Title

International Journal of Mathematics and Mathematical Sciences

External Full Text Location

https://doi.org/10.1155/S0161171288000110

e-ISSN

16870425

ISSN

01611712

First Page

71

Last Page

80

Issue

1

Volume

11

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