Work

A Geometric View on the Surfaces of Rotation Generated by Killing Vector Field in Galilean 3-Space

Year: 2024

Type: article

Abstract: In this paper, by using rotational matrix which is the subgroups of the manifold \(M\) corresponding to rotation, some certain results of describing the surface are given in detail obtaining Killing vector field in \(G_3\), the rotational surfaces generated by the rotational matrices are given using an isotropic curve and isotropic matrices of rotation in \(G_3\). Moreover, taking the Gaussian and mean curvatures of this special rotational surface, the conditions being linear Weingarten surfaces and \(HK\)-quadric surface are expressed harmonic surface.

Source: Journal of Informatics and Mathematical Sciences

DOI: 10.26713/jims.v16i1.3055

Author: Fatma Almaz

Institution: Batman University

Language: English

Topic: Advanced Differential Geometry Research

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4409711317

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