1) timelike umbilical surface
全脐点类时曲面
1.
In this paper, we first set up the intimate relation between the timelike umbilical surface in Minkowski 3 space and Liouville equation by choosing properly isothermal parameter.
１中的全脐点类时曲面与Ｌｉｏｕｖｉｌｅ方程相联系。
2) umbilical hypersurface
全脐点超曲面
3) totally umbilic surface
全脐曲面
1.
The invariant conformal property of umbilic point and totally umbilic surface in 3-dimensional compact Lorentz space Q3 are studied.
介绍了三维紧致Lorentz流形Q3中的脐点以及全脐曲面的共形不变性,并通过31、S31热、H31到Q3的嵌入,得到这三个常曲率分别为0,1,-1的三维Lorentz空间形式的脐点以及全脐曲面的共形不变性,并将这一性质推广到一般的三维常曲率Lorentz空间中去,最后对Q3中的全脐曲面进行了分类。
2.
In this paper the classification of totally umbilic surfaces in three-dimensional Lorentz spaces R_1~3,S_1~3,H_1~3 is obtained first, next by the method of inbedding R_1~3,S_1~3,H_1~3 into their common comformal compactification Q~3, the classification of totally umbilic surfaces in Q~3 is obtained and the relation of those totally umbilic surfaces under the inbed is studied.
本文通过对三维Lorentz 空间R_1~3、S_1~3、H_1~3中的全脐曲面进行分类,再将R_1~3、S_1~3、H_1~3 嵌入到它们的共形紧致化空间Q~3。
4) totally umbilical hypersurface
全脐超曲面
1.
In this paper, we discuss the isospectrum of totally umbilical hypersurfaces with totally geodesic hypersurfaces on a sphere.
本文讨论了球面上全脐超曲面与全测地超曲面的等谱问
2.
n this paper,some new characteristics of totally umbilical hypersurfaces in the sphere are studied.
本文得到了球面Ｓ￣（ｎ＋１）（ｃ）中全脐超曲面的一些特征。
6) Affine umbilical surfaces
仿射全脐曲面
补充资料：脐点
脐点
umbilical point
脐点[皿由正cai脚初t;o即yr几e。。，功，砚] 曲面的一个椭圆点(e1UPtic point)，在该点密切抛物面(oscu】atj飞p王洲beI0id)退化成一个旋转抛物面.在脐点处沿所有方向的法曲率都相同，而且该点的众甲加标形(Dupin lildicatr议)是一个圆.脐点有时也被称为球面点(sPherical point)或圆点(circ司arpo·int).八.八.C叱朗oB撰【补注】在平坦点(pha point)处，密切抛物面退化成一个平面.平坦点通常也被称为脐点.但是，Dupin标形在平坦点处没有定义.
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条