Work

Geometry of Umbrella Matrices in Lorentz Space

Year: 2025

Type: article

Abstract: In this study, umbrella matrices in Lorentz space are examined for the first time in the context of Lie groups and Lie algebra. The relationship between the Euclidean and Lorentz Umbrella Lie groups is presented through a different approach, and a new dual transformation is defined between their Lie Algebra. In addition, the characterization of double-umbrella matrices is obtained using a different Lorentzian metric.

Source: Proceedings of the National Academy of Sciences India Section A Physical Sciences

DOI: 10.1007/s40010-025-00918-x

Authors: Mert Çarboğa, Yusuf Yaylı

Institution: Ankara University

Language: English

Topic: Advanced Differential Geometry Research

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,090

OpenAlex ID: W4408973518

FWCI: 0.455

Cites: 8

Cited by: 1

Related to: 10