# A Hilbert-type theorem for spacelike surfaces with constant Gaussian curvature in $mathbb{H}^2 imesmathbb{R} 1$ - Mathematics > Differential Geometry

A Hilbert-type theorem for spacelike surfaces with constant Gaussian curvature in $mathbb{H}^2 imesmathbb{R} 1$ - Mathematics > Differential Geometry - Download this document for free, or read online. Document in PDF available to download.

Abstract: There are examples of complete spacelike surfaces in the Lorentzian product$\mathbb{H}^2\times\mathbb{R} 1$ with constant Gaussian curvature $K\leq -1$.In this paper, we show that there exists no complete spacelike surface in$\mathbb{H}^2\times\mathbb{R} 1$ with constant Gaussian curvature $K>-1$.

Author: ** Alma L. Albujer, Luis J. Alias**

Source: https://arxiv.org/