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- Title
TRANSLATION-FACTORABLE SURFACES IN THE 3-DIMENSIONAL EUCLIDEAN AND LORENTZIAN SPACES SATISFYING Δr<sub>i</sub> = Δ<sub>i</sub>r<sub>i</sub>.
- Authors
DIFI, SID AHMED; ALI, HAKEM; ZOUBIR, HANIFI
- Abstract
This paper deals with the Translation-Factorable (TF) surfaces in the 3-dimensional Euclidean space and Lorentzian-Minkowski space with the condition ∆ri = λiri where ∆ denotes the Laplace operator. Our result will be obtained for the complete classification theorems and give an explicit forms of these surfaces.
- Subjects
GEOMETRIC surfaces; DIMENSIONAL analysis; EUCLIDEAN geometry; LORENTZIAN function; CONTINUOUS functions; MEROMORPHIC functions
- Publication
Electronic Journal of Mathematical Analysis & Applications, 2018, Vol 6, Issue 2, p227
- ISSN
3009-6731
- Publication type
Article
- DOI
10.21608/ejmaa.2018.312564