{ "id": "1501.06979", "version": "v1", "published": "2015-01-28T02:46:57.000Z", "updated": "2015-01-28T02:46:57.000Z", "title": "Causal and conformal structures of globally hyperbolic spacetimes", "authors": [ "Do-Hyung Kim" ], "categories": [ "math.DG", "math-ph", "math.MP" ], "abstract": "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.", "revisions": [ { "version": "v1", "updated": "2015-01-28T02:46:57.000Z" } ], "analyses": { "keywords": [ "conformal structures", "two-dimensional einsteins static universe", "non-compact cauchy surfaces", "two-dimensional minkowski spacetime", "two-dimensional globally hyperbolic spacetimes" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "inspire": 1341695, "adsabs": "2015arXiv150106979K" } } }