Spacelike surfaces of constant Gaussian curvature in Lorentz-Minkowski space - Archive ouverte HAL
Chapitre D'ouvrage Année : 2017

Spacelike surfaces of constant Gaussian curvature in Lorentz-Minkowski space

Andrea Seppi

Résumé

In this paper we survey several results on the study of spacelike surfaces of constant Gaussian curvature K < 0 in Lorentz-Minkowski space of dimension (2+1). Moreover, we show that the space of entire K-surfaces with bounded second fundamental form, up to translations, is naturally parameterized by an infinite-dimensional vector space, namely the tangent space at the trivial point of universal Teichmüller space.
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Dates et versions

hal-03000808 , version 1 (12-11-2020)

Identifiants

  • HAL Id : hal-03000808 , version 1

Citer

Andrea Seppi. Spacelike surfaces of constant Gaussian curvature in Lorentz-Minkowski space. Differential Geometry in Lorentz-Minkowski space (ed. Rafael López Camino), EUG, Granada, 2017. ⟨hal-03000808⟩
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