التفاصيل البيبلوغرافية
| العنوان: |
Some classification of affine homothetical surfaces of finite type in 핀. |
| المؤلفون: |
Senoussi, Bendehiba1 (AUTHOR) snoussi.bendehiba19@gmail.com |
| المصدر: |
Journal of Applied Analysis. Aug2024, p1. 10p. |
| مصطلحات موضوعية: |
*VECTOR valued functions, *EIGENFUNCTIONS, *CLASSIFICATION |
| مستخلص: |
A Euclidean submanifold is said to be of Chen finite type if its coordinate functions are a finite sum of eigenfunctions of its Laplacian Δ. In this paper, we classify two types of affine homothetical surfaces of finite type in isotropic 3-space 핀 3 {\mathbb{I}^{3}} under the condition Δ r i = λ i r i {\Delta r_{i}=\lambda_{i}r_{i}} , where ( r i ) {(r_{i})} is the i-component function of the position vector r ( i = 1 , 2 , 3 {i=1,2,3} ), λ i ∈ ℝ {\lambda_{i}\in\mathbb{R}} and Δ denotes the Laplace operator. [ABSTRACT FROM AUTHOR] |
| قاعدة البيانات: |
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