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In this paper, we classify translation surfaces of Type 2 in the three dimensional simply isotropic space $\mathbb{I}_{3}^{1}$ satisfying 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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참고문헌 (17)
참고문헌 신청
B. Bukcu / 2016 / Translation surfaces in the 3-dimensional simply isotropic space I13satisfying ?IIIxi = λixi / Konuralp J. Math 4 (1) : 275 ~ 281
B. Senoussi / 2015 / Helicoidal surfaces with ?J r = Ar in 3-dimensional Euclidean space / Stud. Univ. Babes-Bolyai Math 60 (13) : 437 ~ 448
B. Y. Chen / 1996 / A report on submanifold of finite type / Soochow J. Math 22 (2) : 117 ~ 337
Ch. Baba-Hamed / 2010 / Translation surfaces in the three dimensional Lorentz-Minkowski space satisfying ?ri = Ari / Int. J. Math. Anal 4 (17) : 797 ~ 808
D.W. Yoon / 2002 / On the Gauss map of translation surfaces in Minkowski 3-space / Taiwanese J. Math 6 (3) : 389 ~ 398
B. Senoussi / 2015 / Helicoidal surfaces with ?J r = Ar in 3-dimensional Euclidean space / Stud. Univ. Babes-Bolyai Math 60 (13) : 437 ~ 448
B. Y. Chen / 1996 / A report on submanifold of finite type / Soochow J. Math 22 (2) : 117 ~ 337
Ch. Baba-Hamed / 2010 / Translation surfaces in the three dimensional Lorentz-Minkowski space satisfying ?ri = Ari / Int. J. Math. Anal 4 (17) : 797 ~ 808
D.W. Yoon / 2002 / On the Gauss map of translation surfaces in Minkowski 3-space / Taiwanese J. Math 6 (3) : 389 ~ 398
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