论文标题
折叠图上的地图
Folding maps on a cross-cap
论文作者
论文摘要
我们研究了欧几里得3维空间中表面的反射对称性,相对于平面具有交叉盖奇异性。这种对称性是通过交叉盖上折叠地图的奇异性拾取的。我们列出了在交叉帽上折叠地图家族成员中出现的通用奇异性列表,并以几何形式表征它们。
We study the reflectional symmetry of a surface in the Euclidean 3-dimensional space with a cross-cap singularity with respect to planes. This symmetry is picked up by the singularities of folding maps on the cross-cap. We give a list of the generic singularities that appear in the members of the family of folding maps on a cross-cap and characterise them geometrically.