On the trajectory ruled surfaces of framed base curves in the Euclidean space

被引：18
|
作者：
Yildiz, Onder Gokmen [1 ]
Akyigit, Mahmut [2 ]
Tosun, Murat [2 ]
机构：
[1] Bilecik Seyh Edebali Univ, Fac Arts & Sci, Dept Math, Bilecik, Turkey
[2] Sakarya Univ, Fac Arts & Sci, Dept Math, Sakarya, Turkey
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2021年 / 44卷 / 09期
关键词：
framed curve; framed surface; singular point; trajectory ruled surface;
D O I：
10.1002/mma.6267
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study trajectory ruled surface of a curve with singular points in the Euclidean 3-space as an application of singularity theory of a space curve with singular points. By considering notion of framed curve, we investigate the trajectory ruled surface and give some results about invariants of these surfaces. Then, we give some examples of trajectory ruled surfaces. Moreover, we determine local diffeomorphic image of these surfaces.
引用
收藏
页码：7463 / 7470
页数：8
相关论文
共 50 条
  • [1] Tubular surfaces associated with framed base curves in Euclidean 3-space
    Eren, Kemal
    Yildiz, Onder Gokmen
    Akyigit, Mahmut
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2022, 45 (18) : 12110 - 12118
  • [2] Framed curves in the Euclidean space
    Honda, Shun'ichi
    Takahashi, Masatomo
    ADVANCES IN GEOMETRY, 2016, 16 (03) : 265 - 276
  • [3] ON ADJOINT CURVES OF FRAMED CURVES AND SOME RULED SURFACES
    Yazici, Bahar Dogan
    Karakus, Siddika Ozkaldi
    Tosun, Murat
    HONAM MATHEMATICAL JOURNAL, 2023, 45 (03): : 380 - 396
  • [4] Framed Surfaces in the Euclidean Space
    Fukunaga, Tomonori
    Takahashi, Masatomo
    BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, 2019, 50 (01): : 37 - 65
  • [5] Framed Surfaces in the Euclidean Space
    Tomonori Fukunaga
    Masatomo Takahashi
    Bulletin of the Brazilian Mathematical Society, New Series, 2019, 50 : 37 - 65
  • [6] ON FRAMED TZITZEICA CURVES IN EUCLIDEAN SPACE
    Yazici, Bahar Dogan
    Karakus, Siddika Ozkaldi
    Tosun, Murat
    FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2022, 37 (02): : 307 - 319
  • [7] FRAMED SURFACES AND ONE-PARAMETER FAMILIES OF FRAMED CURVES IN EUCLIDEAN 3-SPACE
    Fukunaga, Tomonori
    Takahashi, Masatomo
    JOURNAL OF SINGULARITIES, 2020, 21 : 30 - 49
  • [8] On generalised framed surfaces in the Euclidean space
    Takahashi, Masatomo
    Yu, Haiou
    AIMS MATHEMATICS, 2024, 9 (07): : 17716 - 17742
  • [9] On the classification of framed rectifying curves in Euclidean space
    Yazici, Bahar Dogan
    Karakus, Siddika Ozkaldi
    Tosun, Murat
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2022, 45 (18) : 12089 - 12098
  • [10] Framed Natural Mates of Framed Curves in Euclidean 3-Space
    Li, Yanlin
    Mak, Mahmut
    MATHEMATICS, 2023, 11 (16)
12345