$LS_{\lowercase {r}}$-valued Gauss maps and spacelike surfaces of revolution in $\mathbb R_1^4$

zbMATH Open1263.53067arXiv1105.5690MaRDI QIDQ4918985

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Publication date: 7 May 2013

Abstract: To study spacelike surfaces in the Lorentz-Minkowski space

B b b R_{1}^{4},

we construct a pair of maps whose values are in the lightcone, called

m a t h f r a k l_{r}^{p m}

-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.

Full work available at URL: https://arxiv.org/abs/1105.5690

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