论文标题
几何不变的界限近乎奇异性,这是奇异曲线的悬浮
Boundedness of geometric invariants near a singularity which is a suspension of a singular curve
论文作者
论文摘要
在表面或曲线的奇异点附近,几何不变的差异和分歧的顺序,特别是这些不变的界限代表了表面和曲线的几何形状。在本文中,我们研究了表面奇异点附近的几个几何不变的界限和顺序,该点是平面中单数曲线的悬浮液以及穿过单数点的曲线的悬浮液。我们评估曲线的高斯和平均曲率和平均曲率的顺序以及它们的测量,正常曲率和地球扭转的顺序。
Near a singular point of a surface or a curve, geometric invariants diverge in general, and the orders of diverge, in particular the boundedness about these invariants represent geometry of the surface and the curve. In this paper, we study boundedness and orders of several geometric invariants near a singular point of a surface which is a suspension of a singular curve in the plane and those of curves passing through the singular point. We evaluates the orders of Gaussian and mean curvatures and them of geodesic, normal curvatures and geodesic torsion for the curve.