Proper curvature collineations in Bianchi type-II space-times

摘要

A study of Bianchi type-II space-times according to their proper curvature collineations is given by using the rank of the 6×6 Riemann matrix and direct integration techniques. It is shown that there exist only two cases when the above space-time admits proper curvature collineations and they form an infinite-dimensional vector space.