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VOLUME OF C<sup>1,α</sup>-BOUNDARY DOMAIN IN EXTENDED HYPERBOLIC SPACE

VOLUME OF C<sup>1,α</sup>-BOUNDARY DOMAIN IN EXTENDED HYPERBOLIC SPACE

We consider the projectivization of Minkowski space with the analytic continuation of the hyperbolic metric and call this an extended hyperbolic space. We can measure the volume of a domain lying across the boundary of the hyperbolic space using an analytic continuation argument. In this paper we show this method …