UMBRELLA MOTIONS IN 3-DIMENSIONAL LORENTZ SPACE

In this study, umbrella matrices in 3D Lorentz space are obtained for the first time, and the effect of metric change on the matrix group is investigated. In addition, the relationship of these matrices with dual numbers was examined, and important results are obtained regarding their geometric and kinematic properties. The findings reveal that umbrella matrices can play an important role in Lorentz space.

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Publication Details

Journal
Journal of Science and Arts
Published
2025-03-30
DOI
https://doi.org/10.46939/j.sci.arts-25.1-a09
Primary Topic
Geometric Analysis and Curvature Flows
Type
article
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article

UMBRELLA MOTIONS IN 3-DIMENSIONAL LORENTZ SPACE

Yusuf Yaylı, Mert Çarboğa
Journal of Science and Arts
Geometric Analysis and Curvature Flows
article

UMBRELLA MOTIONS IN 3-DIMENSIONAL LORENTZ SPACE

Yusuf Yaylı, Mert Çarboğa
article en

Abstract

In this study, umbrella matrices in 3D Lorentz space are obtained for the first time, and the effect of metric change on the matrix group is investigated. In addition, the relationship of these matrices with dual numbers was examined, and important results are obtained regarding their geometric and kinematic properties. The findings reveal that umbrella matrices can play an important role in Lorentz space.

Journal of Science and ArtsVol. 25(1)
Ankara University (TR)
Openalex Percentile: Top 90%
Geometric Analysis and Curvature Flows
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UMBRELLA MOTIONS IN 3-DIMENSIONAL LORENTZ SPACE — Yusuf Yaylı, Mert Çarboğa · Journal of Science and Arts (2025) | TGRS Research Map | TGRS