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

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DOI:

https://doi.org/10.26713/jims.v16i1.3055

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 G3, the rotational surfaces generated by the rotational matrices are given using an isotropic curve and isotropic matrices of rotation in G3.\ 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.

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Published

2024-12-31
CITATION

How to Cite

Almaz, F. (2024). A Geometric View on the Surfaces of Rotation Generated by Killing Vector Field in Galilean 3-Space. Journal of Informatics and Mathematical Sciences, 16(1), 1–16. https://doi.org/10.26713/jims.v16i1.3055

Issue

Vol. 16 No. 1 (2024)

Section

Research Article

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