Catenaries and singular minimal surfaces in the simply isotropic space

LCB da Silva, R López - Results in Mathematics, 2023 - Springer
This paper investigates the hanging chain problem in the simply isotropic plane and its 2-
dimensional analog in the simply isotropic space. The simply isotropic plane and space are …

Holomorphic representation of minimal surfaces in simply isotropic space

LCB da Silva - Journal of Geometry, 2021 - Springer
It is known that minimal surfaces in Euclidean space can be represented in terms of
holomorphic functions. For example, we have the well-known Weierstrass representation …

Warped Translation Surfaces of Finite Type in Simply Isotropic 3-Spaces

AK Akbay - fundamental journal of mathematics and applications, 2020 - dergipark.org.tr
In this paper, we 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 …

[PDF][PDF] Designing and Studying Darboux Sweeping Surface in Isotropic Space

WM Mahmoud, EM Mohamed, MA Soliman - wseas.com
This research aims to study Darboux sweeping surface in isotropic space 𝐼1 3. We went
through the geometric characteristics of sweeping surfaces in 𝐼1 3. The first and second …

Parabolic revolution surfaces of finite type in simply isotropic 3-spaces.

A Kelleci Akbay - … Journal of Geometric Methods in Modern …, 2021 - search.ebscohost.com
In this paper, we classify parabolic revolution surfaces in the three-dimensional simply
isotropic space 𝕀 3 under the condition Δ J xi= λ ixi, J= I, II, where Δ J is the Laplace operator …