On the minimality condition for caustics of pseudo-spherical surfaces

Jikumaru, Yoshiki; Teramoto, Keisuke

doi:10.1090/proc/16780

On the minimality condition for caustics of pseudo-spherical surfaces
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by Yoshiki Jikumaru and Keisuke Teramoto;

Proc. Amer. Math. Soc. 152 (2024), 3075-3083

DOI: https://doi.org/10.1090/proc/16780

Published electronically: May 21, 2024

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Abstract:

We show that only pseudo-spherical surface whose caustic becomes a minimal surface is Dini surface family. Moreover, we give the Weierstrass data for corresponding minimal surface to the caustic.

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