ON FOCAL SURFACES FORMED BY TIMELIKE NORMAL RECTILINEAR CONGRUENCE


Şimşek H., ÖZDEMİR M.

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, vol.65, no.2, pp.55-64, 2016 (ESCI) identifier

Abstract

In this paper, we investigate the focal surfaces obtained by the timelike normal rectilinear congruence whose straight lines are normal to space like surface, in the Minkowski 3-Space. Then, the relation lambda(1) K(Z)1 + lambda(2)K(Z)2 = 0 between Gaussian curvatures of these focal surfaces are examined and finally the relation which concern with area preserving correspondence between the focal surfaces are given.