Work

On generalised lightcone framed surfaces in Lorentz-Minkowski 3-space

Year: 2026

Type: article

Abstract: We have introduced lightcone framed surfaces and lightcone framed curves as mixed type surfaces and mixed type curves with singular points, respectively. A more general notion of singular surfaces, called generalised lightcone framed surfaces, is introduced in this paper. The notion of generalised lightcone framed surfaces includes not only the notion of lightcone framed surfaces, but also the notion of one-parameter families of lightcone framed curves at least locally. We investigate properties of generalised lightcone framed surfaces.

Source: Journal of Geometry

DOI: 10.1007/s00022-026-00804-w

Author: Masatomo Takahashi

Institution: Muroran Institute of Technology

Language: English

Topic: Advanced Differential Geometry Research

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funder: Japan Society for the Promotion of Science