论文标题
平面上的大地网
Geodesic nets on flat spheres
论文作者
论文摘要
我们考虑在双子多边形上（拓扑2 spheres end od flat flat cone singunioltion）上的多边形（拓扑2 spheres）上的大地网（在嵌入式图的空间上的临界点）。我们使用高斯 - 骨网定理来证明常规双子多边形上特定的测地网的存在和不存在。
We consider geodesic nets (critical points of a length functional on the space of embedded graphs) on doubled polygons (topological 2-spheres endowed with a flat metric away from finitely many cone singularities). We use the theorem of Gauss-Bonnet to demonstrate the existence and non-existence of specific geodesic nets on regular doubled polygons.
