the monotone coefficients of the spaces and the upper(lower) monotone coefficients of a point of the unit sphere are computed.
并计算该空间的单调系数及该空间单位球面上任意一点的上(下)单调系数。
moebius second fundamental form is important moebills invariable on the unit sphere of submanifolds, in this paper, we classify the surface in s~3 with semi—parallel moebius second fundamental form.
moebius第二基本形式是单位球面上子流形的重要的moebius不变量,本文给出了s3中具有半平行moebius第二基本形式的曲面的分类。
we obtain two formulas about the covariant derivative of the coordinate functions on the unit sphere in eucdidean space.
得到了欧氏空间中,单位球面上坐标函数关于某一特定标架场的协变微分的两个等式。
at the same time, by subdividing an icosahedron and projecting all its vertices onto the unit sphere from the center, we can get a spherical triangle mesh with subdivision topology.
然后,将一个正多面体进行细分并将每一次细分所产生的新顶点投影到单位球面上,如此生成一个细分网格。