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On the trajectory ruled surfaces of framed base curves in the Euclidean space
Author(s) -
Yıldız Önder Gökmen,
Akyiğit Mahmut,
Tosun Murat
Publication year - 2021
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.6267
Subject(s) - mathematics , ruled surface , trajectory , singularity , surface (topology) , base (topology) , euclidean geometry , euclidean space , space (punctuation) , singularity theory , mathematical analysis , geometry , pure mathematics , computer science , physics , operating system , astronomy
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.