Conchoidal Surfaces in Euclidean 3-space Satisfying $\Delta x_{i}=\lambda _{i}x_{i}$

Sokur, BETÜL; Dirim, Tuğçe

doi:10.32323/ujma.1330866

Conchoidal Surfaces in Euclidean 3-space Satisfying $\Delta x_{i}=\lambda _{i}x_{i}$

Atıf İçin Kopyala

Sokur B., Dirim T.

Universal Journal of Mathematics and Applications, cilt.6, sa.3, ss.114-121, 2023 (Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 6 Sayı: 3
Basım Tarihi: 2023
Doi Numarası: 10.32323/ujma.1330866
Dergi Adı: Universal Journal of Mathematics and Applications
Derginin Tarandığı İndeksler: Scopus
Sayfa Sayıları: ss.114-121
Bursa Uludağ Üniversitesi Adresli: Evet

Özet

In this paper, we study the conchodial surfaces in 3-dimensional Euclidean space with the condition ∆xi = λixi where ∆ denotes the Laplace operator with respect to the first fundamental form. We obtain the classification theorem for these surfaces satisfying under this condition. Furthermore, we have give some special cases for the classification theorem by given the radius function r(u, v) with respect to the parameter u and v.