Timelike rotational hypersurfaces with timelike axis in Minkowski four-space

Authors : Erhan GÜLER

Pages : 331-339

Doi:10.31801/cfsuasmas.1062426

View : 42 | Download : 59

Publication Date : 2023-06-23

Article Type : Research Paper

Abstract :We introduce the timelike rotational hypersurfaces $\\textbf{x}$ with timelike axis in Minkowski 4-space $\\mathbb{E}_1^{4}$. We obtain the equations for the curvatures of the hypersurface. Moreover, we present a theorem for the rotational hypersurfaces with timelike axis supplying $\\Delta\\textbf{x}=\\mathcal{T}\\textbf{x}$, where $\\mathcal{T}$ is a 4x4 real matrix.
Keywords : Rotational hypersurface, timelike axis, Laplace Beltrami operator, curvature, Minkowski 4 space