Evolving evolutoids and pedaloids from viewpoints of envelope and singularity theory in Minkowski plane
Küçük Resim Yok
Tarih
2022
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, we take advantage of envelope theory and singularity theory to study the evolutoids and pedaloids in Minkowski plane. We illustrate an internal correlation from algebraic and geometric viewpoints, and give the geometric explanation of evolutoids and pedaloids. Then, we generalize the notions of evolutoids and pedaloids to the category of frontals in Minkowski plane. Furthermore, we apply the technique of singularity theory, using the discriminants and versal unfolding tools, to consider evolving evolutoids and give the classifications of singularities of the evolutoids, and explain when cusps and inflexions occur and how evolutoids evolving. Besides, we found that there is a close relationship between the evolutoids and pedaloids and good correspondence between their singularities.(c) 2022 Elsevier B.V. All rights reserved.
Açıklama
Anahtar Kelimeler
Evolutoids, Pedaloids, Envelope Theory, Singularity Theory, Minkowski Plane
Kaynak
Journal Of Geometry And Physics
WoS Q Değeri
Q1
Scopus Q Değeri
Q2
Cilt
176
