On The 3-Plane and Cone and Spheres

Abstract

Elkholy and Areefi showed that in a space time, the intersection of a plane, passing through the origin, with the ligt cone, given by the equation 3 L = O, is two 2-planes 2 perpendicular to each other. In this study, instead of Eikholy-Areefi's ligt cone in a space time by dealing with the cone given by the eguation, a'j + a'^ x. . 2 '3b = O and showing that also it's intersection with 3-plane, passing through the origin, is two 2-planes perpendicular to one enother, the generalization of the aıticle of Eikholy-Areefi has heen ob tained. Furthermore, validity is proved for the sphere given by the equation 3 X, . 2 ■4 • . 2 2 '4 5/^2 +