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TRANSLATION SURFACES IN THE 3-DIMENSIONAL GALILEAN SPACE SATISFYING Delta x(i)(II) = lambda(i)x(i)

Authors
Cakmak, AliKaracan, Murat KemalKiziltug, SezaiYoon, Dae Won
Issue Date
Jul-2017
Publisher
KOREAN MATHEMATICAL SOC
Keywords
Laplace operator; Galilean space; translation surfaces
Citation
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, v.54, no.4, pp 1241 - 1254
Pages
14
Indexed
SCIE
SCOPUS
KCI
Journal Title
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY
Volume
54
Number
4
Start Page
1241
End Page
1254
URI
https://scholarworks.gnu.ac.kr/handle/sw.gnu/13617
DOI
10.4134/BKMS.b160442
ISSN
1015-8634
2234-3016
Abstract
In this paper, we classify translation surfaces in the three dimensional Galilean space G(3) satisfying some algebraic equations in terms of the coordinate functions and the Laplacian operators with respect to the second fundamental form of the surface. We also give explicit forms of these surfaces.
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