Singularities of Translation Surfaces in the Euclidean 3-Space

被引：3

作者：

Fukunaga, Tomonori ^{[1
]}

Takahashi, Masatomo ^{[2
]}

机构：

[1] Fukuoka Inst Technol, Fukuoka 8110295, Japan

[2] Muroran Inst Technol, Muroran, Hokkaido 0508585, Japan

来源：

RESULTS IN MATHEMATICS | 2022年 / 77卷 / 02期

基金：

日本学术振兴会;

关键词：

Translation surface; framed surface; one-parameter family of framed curves; singularity; GAUSSIAN CURVATURE; BEHAVIOR; SPACE;

D O I：

10.1007/s00025-022-01622-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study on singular points of translation surfaces in the Euclidean 3-space by using the theory of framed curves and framed surfaces. We introduce the notion of translation framed (base) surfaces and discuss types of singular points that appear on translation framed base surfaces. Moreover, we study translation framed surfaces which K-F or H-F is a zero function.

引用

页数：28

共 30 条

[1] Behavior of the Gaussian curvature of timelike minimal surfaces with singularities [J].