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TRANSLATION SURFACES OF TYPE 2 IN THE THREE DIMENSIONAL SIMPLY ISOTROPIC SPACE I1/3open access

Authors
Bukcu, BahaddinKaracan, Murat KemalYoon, Dae Won
Issue Date
2017
Publisher
KOREAN MATHEMATICAL SOC
Keywords
Laplace operator; simply isotropic space; translation surfaces
Citation
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, v.54, no.3, pp 953 - 965
Pages
13
Indexed
SCIE
SCOPUS
KCI
Journal Title
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY
Volume
54
Number
3
Start Page
953
End Page
965
URI
https://scholarworks.gnu.ac.kr/handle/sw.gnu/15002
DOI
10.4134/BKMS.b160377
ISSN
1015-8634
2234-3016
Abstract
In this paper, we classify translation surfaces of Type 2 in the three dimensional simply isotropic space I1/3satisfying some algebraic equations in terms of the coordinate functions and the Laplacian operators with respect to the first, the second and the third fundamental form of the surface. We also give explicit forms of these surfaces.
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