论文标题
通用球形四边形的分类
Classification of generic spherical quadrilaterals
论文作者
论文摘要
通用球形四边形分类为等轴测图。通用条件在于，开发图下方的侧面图像属于没有三重交集的四个不同的圆圈。在这种情况下，证明具有规定角度的四边形的空间由有限的许多开放曲线组成。还确定了这些曲线端点处的变性。
Generic spherical quadrilaterals are classified up to isometry. Condition of genericity consists in the requirement that the images of the sides under the developing map belong to four distinct circles which have no triple intersections. Under this condition, it is shown that the space of quadrilaterals with prescribed angles consists of finitely many open curves. Degeneration at the endpoints of these curves is also determined.
