Spacelike surfaces of constant Gaussian curvature in Lorentz-Minkowski space

Andrea Seppi (1)

1 IF - Institut Fourier

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.

Domaines: Géométrie différentielle [math.DG]

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⟩