학술논문
Surfaces of revolution in the 3-dimensional Lorentz-Minkowski space satisfying $\Delta x^i=\lambda^i x^i$.
Document Type
Journal
Author
Bekkar, M. (DZ-ORANS) AMS Author Profile; Zoubir, H. (DZ-ENSET) AMS Author Profile
Source
Subject
53 Differential geometry -- 53C Global differential geometry
53C50Lorentz manifolds, manifolds with indefinite metrics
53C50
Language
English
Abstract
In this paper the authors look for finite type surfaces of revolution in the Minkowski space $\Bbb{L}^{3}$ depending on whether the causal character of the axis of revolution is spacelike or timelike. They find that the only ones are either minimal or open parts of one of the following: $\Bbb{S}_1^{2}(r)$, $\Bbb{S}_1^{1}(r) \times \Bbb{R}$, $\Bbb{S}^{1}(r) \times \Bbb{R}$ or $\Bbb{H}^{2}(r)$.