Liu, HuiliZhao, Guosong2021-12-172021-12-171999-02-012197-8085https://depositonce.tu-berlin.de/handle/11303/15916http://dx.doi.org/10.14279/depositonce-14689A spacelike surface $M$ in 3-dimensional de Sitter space $\mathbb{S}^3_1$ or 3-dimensional anti-de Sitter space $\mathbb{H}^3_1$ is called isoparametric, if $M$ has constant principle curvatures. A timelike surface is called isoparametric, if its minimal polynomial of the shape operator is constant. In this paper, we determine the spacelike isoparametric surfaces and the timelike isoparametric surfacesx in $\mathbb{S}^3_1$ and $\mathbb{H}^3_1$.en510 Mathematikisoparametric surfacede Sitter spaceanti-de Sitter spaceprincipal curvatureResearch Paper