论文标题
区域最小化对抗刺穿的单元2秒和微量浸入的klein瓶上的单位矢量场
Area minimizing unit vector fields on antipodally punctured unit 2-sphere and minimally immersed Klein Bottles
论文作者
论文摘要
我们为单位矢量场的体积提供了较低的值，该体积与偏欧的euclidean Sphere $ \ mathbb {s}^2 $相切，具体取决于由其奇异性索引确定的椭圆长的长度。另外，为了最大程度地减少具有特定索引对的矢量场，我们表明它们的图像与最小沉浸式klein瓶的图像一致。
We provide a lower value for the volume of a unit vector field tangent to an antipodally Euclidean sphere $\mathbb{S}^2$ depending on the length of an ellipse determined by the indexes of its singularities. In addition, for minimizing vector fields having specific pair of indexes, we show that their image coincides with the image of minimally immersed Klein bottles.
