دورية أكاديمية

Pedal Curves of the Mixed-Type Curves in the Lorentz-Minkowski Plane

التفاصيل البيبلوغرافية
العنوان: Pedal Curves of the Mixed-Type Curves in the Lorentz-Minkowski Plane
المؤلفون: Xin Zhao, Donghe Pei
المصدر: Mathematics, Vol 9, Iss 22, p 2852 (2021)
بيانات النشر: MDPI AG, 2021.
سنة النشر: 2021
المجموعة: LCC:Mathematics
مصطلحات موضوعية: pedal curve, mixed-type curve, lightlike point, Lorentz–Minkowski plane, Mathematics, QA1-939
الوصف: In this paper, we consider the pedal curves of the mixed-type curves in the Lorentz–Minkowski plane R12. The pedal curve is always given by the pseudo-orthogonal projection of a fixed point on the tangent lines of the base curve. For a mixed-type curve, the pedal curve at lightlike points cannot always be defined. Herein, we investigate when the pedal curves of a mixed-type curve can be defined and define the pedal curves of the mixed-type curve using the lightcone frame. Then, we consider when the pedal curves of the mixed-type curve have singular points. We also investigate the relationship of the type of the points on the pedal curves and the type of the points on the base curve.
نوع الوثيقة: article
وصف الملف: electronic resource
اللغة: English
تدمد: 2227-7390
Relation: https://www.mdpi.com/2227-7390/9/22/2852; https://doaj.org/toc/2227-7390
DOI: 10.3390/math9222852
URL الوصول: https://doaj.org/article/6f577548fab343478590c9f9824c734a
رقم الأكسشن: edsdoj.6f577548fab343478590c9f9824c734a
قاعدة البيانات: Directory of Open Access Journals
الوصف
تدمد:22277390
DOI:10.3390/math9222852