Poincaré’s Theorem for Fuchsian Groups
نویسنده
چکیده
We present a proof of Poincaré’s Theorem on the existence of a Fuchsian group for any signature (g; m1, ..., mr), where g, m1, ..., mr provide an admissable solution to the formula describing the hyperbolic area of the group’s quotient space. Along the way we elucidate relevant concepts in hyperbolic geometry and the theory of Fuchsian groups.
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