Work

Geometric properties of caustics of pseudo-spherical surfaces

Year: 2025

Type: article

Abstract: We deal with pseudo-spherical surfaces admitting certain singularities and their caustics. In particular, we give characterizations of cuspidal butterfly, cuspidal lip and cuspidal beak singularities on a pseudo-spherical surface. Moreover, characterizations of certain singularities on the caustics of a pseudo-spherical surface are given. Furthermore, when the caustic has a cuspidal edge singularity, we investigate geometric invariants defined at that point.

Source: Rendiconti del Seminario Matematico della Università di Padova

DOI: 10.4171/rsmup/182

Author: Keisuke Teramoto

Institution: Yamaguchi University

Language: English

Topic: Advanced Differential Geometry Research

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funder: Japan Society for the Promotion of Science

Award: 特異性を持つ曲面の局所的性質と構成法に関する研究