LS_\lowercase r-valued Gauss maps and spacelike surfaces of revolution in \mathbb R₁⁴

2011/05/28 by Dang Van Cuong, Van Cuong, Dang
Mathematics · Physics and Astronomy · #Geometric Analysis and Curvature Flows #Advanced Differential Geometry Research #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1105.5690

Abstract

To study spacelike surfaces in the Lorentz-Minkowski space \Bbb R⁴₁, we construct a pair of maps whose values are in the lightcone, called \mathfrak l_r^± -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.

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