Rw. Smyth, UNCOUNTABLY MANY C-0 CONFORMALLY DISTINCT LORENTZ SURFACES AND A FINITENESS THEOREM, Proceedings of the American Mathematical Society, 124(5), 1996, pp. 1559-1566
This paper describes an uncountable family of Lorentz surfaces realize
d as rectangular regions in the Minkowski 2-plane E(1)(2). A Simple C-
0 conformal invariant is defined which assigns a different real value
to each Lorentz surface in the family. While these surfaces provide un
countably many C-0 conformally distinct, bounded, convex subsets of E(
1)(2) which are each symmetric about a properly embedded timelike curv
e and about a properly embedded spacelike curve, it is shown that ther
e are only 21 C-0 conformally distinct, bounded, convex subsets of E(1
)(2) which are symmetric about some null liner.