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12: Carril hiperbólico

Última actualización

30 oct 2022
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- 11.6: Curvatura
- 12.1: Modelo de Disco Conformal

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En este capítulo, utilizamos geometría inversiva para construir el modelo de un plano hiperbólico, un plano neutro que no es euclidiano. A saber, construimos el llamado modelo de disco conforme del plano hiperbólico. Este modelo fue descubierto por Beltrami en [4] y a menudo llamado el modelo de disco Poincaré. La siguiente figura muestra el modelo de disco conforme del plano hiperbólico el cual se corta en triángulos congruentes con ángulos $\dfrac{\pi}{3}, \dfrac{\pi}{3}$ , y $\dfrac{\pi}{4}$ .

$2021-02-23 1.33.26.png$

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