Warped Translation Surfaces of Finite Type in Simply Isotropic 3-Spaces

Home Page
About
Submit A Journal
Submit A Conference
Submit Paper/Book
- Submit a Preprint
- Submit a Book
Contact

Fundamental Journal of Mathematics and Applications
Volume:3 Issue:2
Warped Translation Surfaces of Finite Type in Simply Isotropic 3-Spaces

Warped Translation Surfaces of Finite Type in Simply Isotropic 3-Spaces

Pages : 137-143

View : 18 | Download : 9

Publication Date : 2020-12-15

Article Type : Research Paper

Abstract :In this paper, we classify warped translation surfaces being invariant surfaces of i-type, that is, the generating curve has formed by the intersection of the surface with the isotropic xz-plane in the three-dimensional simply isotropic space $\mathbb I^3$ under the condi tio n $\Delta^{J}x_i=\lambda_i x_i,$ w ith J=I,II . Here, $\Delta^{J}$ is the Laplace operator with respect to first and second fundamental form and $\lambda_i$, $i=1,2,3$ are some real numbers. Also, as an application, we give some examples for these surfaces and also some explicit graphics of them. All graphics have been plotted with Maple14.
Keywords : Invariant surface, Laplace operator, Simply isotropic space, Surfaces of finite type

ORIGINAL ARTICLE URL

VIEW PAPER (PDF)

* There may have been changes in the journal, article,conference, book, preprint etc. informations. Therefore, it would be appropriate to follow the information on the official page of the source. The information here is shared for informational purposes. IAD is not responsible for incorrect or missing information.