%0 Journal Article %T Causal and conformal structures of globally hyperbolic spacetimes %A Do-Hyung Kim %J Mathematics %D 2015 %I arXiv %R 10.1016/j.geomphys.2015.06.015 %X The group of conformal diffeomorphisms and the group of causal automorphisms on two-dimensional globally hyperbolic spacetimes are clarified. It is shown that if spacetimes have non-compact Cauchy surfaces, then the groups are subgroups of that of two-dimensional Minkowski spacetime, and if spacetimes have compact Cauchy surfaces, then the groups are subgroups of that of two-dimensional Einstein's static universe. %U http://arxiv.org/abs/1501.06979v1