The Riemann mapping theorem shows that it is possible to conformally transform the hyperbolic plane into an area within itself. Is there an analogue of this theorem which does the same thing for 2 dimensional De Sitter spacetime, possibly with split complex numbers?
[Question] Is there an analogue of Riemann’s mapping theorem for split complex numbers, or otherwise?
Question for mathematicians:
The Riemann mapping theorem shows that it is possible to conformally transform the hyperbolic plane into an area within itself. Is there an analogue of this theorem which does the same thing for 2 dimensional De Sitter spacetime, possibly with split complex numbers?
edit: Please don’t consult AI about this.