标题： 类时极小曲面的高斯曲率行为 显示英文标题

标题： Behavior of the Gaussian curvature of timelike minimal surfaces with singularities

摘要： 在三维洛伦兹-闵可夫斯基空间中，我们证明了任何类时极小曲面的高斯曲率的符号由生成该曲面的两条零曲线的退化性和方向性决定。 此外，我们还研究了当类时极小曲面具有某种类型的奇异点时，高斯曲率在奇异点附近的性质。 显示英文摘要

摘要： In the 3-dimensional Lorentz-Minkowski space we prove that the sign of the Gaussian curvature of any timelike minimal surface is determined by the degeneracy and the orientations of the two null curves that generate the surface. Moreover, we also investigate the behavior of the Gaussian curvature near singular points of a timelike minimal surface which admits some kind of singular points.