Classification of Some Special Types Ruled Surfaces in Simply Isotropic 3-Space
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In this article, two types of ruled surfaces in the 3D simply isotropic space I13 were classified under the condition ∆xi= λixi where ∆ is the Laplace operator with respect to the first fundamental form and λ is a real number.Abstract:
Abstract In this paper, we classify two types ruled surfaces in the three dimensional simply isotropic space I13 under the condition ∆xi= λixi where ∆ is the Laplace operator with respect to the first fundamental form and λ is a real number. We also give explicit forms of these surfaces.read more
Citations
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Invariant surfaces with coordinate finite-type Gauss map in simply isotropic space
Alev Kelleci,Luiz C. B. da Silva +1 more
TL;DR: In this article, the extrinsic geometry of surfaces in simply isotropic space, a three-dimensional space equipped with a rank 2 metric of index zero, has been studied.
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Warped Translation Surfaces of Finite Type in Simply Isotropic 3-Spaces
TL;DR: In this paper, the authors 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 3D simply isotropical space.
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