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Dergiler / Universal Journal of Mathematics and Applications / 2023 / Cilt: 6 Sayı: 3

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

Betül BULCA SOKUR
Tuğçe DİRİM
Sayfa
114–121
Yayın Tarihi
2023-09-30
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Furthermore, we have given some special cases for the classification theorem by giving the radius function $r(u,v)$ with respect to the parameters $u$ and $v$.

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Amaç & Hipotez:In this paper, we study the conchodial surfaces in 3-dimensional Euclidean space with the condition $\Delta x_{i}=\lambda _{i}x_{i}$ where $\Delta $ denotes the Laplace operator with respect to the first fundamental form.
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Temel Bulgular & Veri:We obtain the classification theorem for these surfaces satisfying under this condition.
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Sonuç & Katkı:Furthermore, we have given some special cases for the classification theorem by giving the radius function $r(u,v)$ with respect to the parameters $u$ and $v$.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Conchoid · Gaussian curvature · Laplace operator

Abstract

In this paper, we study the conchodial surfaces in 3-dimensional Euclidean space with the condition $\Delta x_{i}=\lambda _{i}x_{i}$ where $\Delta $ 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 given some special cases for the classification theorem by giving the radius function $r(u,v)$ with respect to the parameters $u$ and $v$.

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Bu Makaleye Atıf Yap

SOKUR, B. B., DİRİM, T. (2023). Conchoidal Surfaces in Euclidean 3-space Satisfying $\Delta x_{i}=\lambda _{i}x_{i}$. Universal Journal of Mathematics and Applications, Cilt: 6 Sayı: 3, 114–121. https://ajindex.com/articles/965498

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