Classification of Surfaces of Finite Chen II-Type
Publication type: Journal Article
Publication date: 2025-01-20
scimago Q3
SJR: 0.290
CiteScore: 1.5
Impact factor: —
ISSN: 11092769, 22242880
Abstract
In this paper, we delve into the fascinating realm of quadric surfaces, with a specific focus on those of finite type. We first define relations regarding the first and the second Laplace operators corresponding to the second fundamental form II of a surface in the Euclidean space E 3 . We focus on quadric surfaces from two sides, on one side, we study quadric surfaces of the first kind whose Gauss map N satisfies a relation of the form ΔΙΙn = AN, where A is a square matrix of order 3 and ∆ is the second Laplace operator. On the other side, we study quadric surfaces of the second kind with the same property.
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Alzaareer H., Alzoubi H., Almashaleh W. Classification of Surfaces of Finite Chen II-Type // WSEAS Transactions on Mathematics. 2025. Vol. 24. pp. 1-7.
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Alzaareer H., Alzoubi H., Almashaleh W. Classification of Surfaces of Finite Chen II-Type // WSEAS Transactions on Mathematics. 2025. Vol. 24. pp. 1-7.
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TY - JOUR
DO - 10.37394/23206.2025.24.1
UR - https://wseas.com/journals/mathematics/2025/a025106-001(2025).pdf
TI - Classification of Surfaces of Finite Chen II-Type
T2 - WSEAS Transactions on Mathematics
AU - Alzaareer, Hamza
AU - Alzoubi, Hassan
AU - Almashaleh, Waseem
PY - 2025
DA - 2025/01/20
PB - World Scientific and Engineering Academy and Society (WSEAS)
SP - 1-7
VL - 24
SN - 1109-2769
SN - 2224-2880
ER -
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@article{2025_Alzaareer,
author = {Hamza Alzaareer and Hassan Alzoubi and Waseem Almashaleh},
title = {Classification of Surfaces of Finite Chen II-Type},
journal = {WSEAS Transactions on Mathematics},
year = {2025},
volume = {24},
publisher = {World Scientific and Engineering Academy and Society (WSEAS)},
month = {jan},
url = {https://wseas.com/journals/mathematics/2025/a025106-001(2025).pdf},
pages = {1--7},
doi = {10.37394/23206.2025.24.1}
}