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articleNo Access
Parabolic revolution surfaces of finite type in simply isotropic 3-spaces
- Alev Kelleci Akbay
International Journal of Geometric Methods in Modern Physics23 Dec 2020
Preview Abstract
In this paper, we classify parabolic revolution surfaces in the three-dimensional simply isotropic space $𝕀^{3}$ under the condition
$Δ^{J} x_{i} = λ_{i} x_{i}, J = I, II,$
where $Δ^{J}$ is the Laplace operator with respect to first and second fundamental form and $λ_{i}$ , $i = 1, 2, 3$ are some real numbers. Also, as an application, we give some explicit examples for these surfaces.

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