GEOMETRY OF INCIDENT LINE CONGRUENCE

Nassar H. Abdel-All (Egypt) and Haya R. Al-Tamimi (Saudi Arabia)

Received January 24, 2009

Abstract

This article presents the geometry of middle surface of special line congruences, by calculating the metric quantities, determinants of first and second fundamental forms and mean curvature of the line congruences. These invariants are given in special cases for coordinate patches on reference surfaces of the incident line congruences [1], [2], [4] and [6].

Keywords and phrases: middle surface, incident line congruence.