$LS_{\lowercase {r}}$-valued Gauss maps and spacelike surfaces of revolution in ${\mathbb{R}}_1^4$

Abstract

To study spacelike surfaces in the Lorentz-Minkowski space ${\mathbb{R}}_1^4,$ we construct a pair of maps whose values are in the lightcone, called ${\mathfrak{l}}_r^{\pm }$-Gauss maps. We can use these maps to study umbilical spacelike surfaces and find parametrizations of spacelike surfaces of revolution of hyperbolic and eliptic types in some particular cases.

arXiv comment17 pages

Cited by in corpus (1)

• Surfaces of Revolution with Constant Gaussian Curvature in Four-Space