A kind of rotational surfaces with a light-like axis in conformally flat pseudo-spaces of dimensional three

Authors : Fırat Yerlikaya

Pages : 450-459

Doi:10.31801/cfsuasmas.1337217

View : 34 | Download : 57

Publication Date : 2024-06-21

Article Type : Research Paper

Abstract :In this work, we define the rotational surface with a light-like axis in conformally flat pseudo-spaces $\\left(\\mathbb{E}_3^1\\right)_\\lambda$, where $\\lambda$ is a radial-type conformal factor. We relate the principal curvatures of a non-degenerate surface that belongs to conformally equivalent spaces $\\left(\\mathbb{E}_3^1\\right)_\\lambda$ and $\\mathbb{R}_1^3$, based on the radial conformal factor. Thus, we establish a relationship between the radial conformal factor and the profile curve of the rotational flat surface in $\\left(\\mathbb{E}_3^1\\right)_\\lambda$, but also for that of the rotational surface with zero extrinsic curvature.
Keywords : Rotation surface, light like axis, conformally flat pseudo space, conformally flat pseudo metric