English translation for "gauss curvature"
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- 高斯曲率
Related Translations:
- Example Sentences:
| 1. | On the other hand , the conformal deformation ' s problem is to find a metric on h2 ( - 1 ) , conformal to g , with the given function k as its gaussian curvature , that is , it is important for us to study the solvability of the conformal gauss curvature equation in geometry analysis . the problem that the conformal gauss curvature equation may have a solution for every nonegative holder continuous function k ( x ) is also an open problem
) = e ~ ( 2u ) g使k是( ? )的高斯曲率，即共形高斯曲率方程的可解性研究是几何分析中的一个重要问题。当预定的函数k取正值时，共形高斯曲率方程解的存在性命题作为一个猜测至今未得到解决。 | | 2. | In the second part , we investigate the compact submanifolds m with the parallel isoperimetric section in the real space forms rm ( c ) and prove that if there exists a parallel isoperimetric section on m , and the sectional curvature of m is always greater than zero , then m is contained in a hyper - sphere ; and get that the gauss curvature of the compact surfaces m with constant mean curvature in constant curvature space r4 ( c ) is always greater than zero , then m is a totally geodesic surface or a sphere , where an isoperimetric on m means a unit normal vector field defined globally on m with m1 ( ) = constant
( 2 )研究了实空间形式r ~ m ( c )中具有平行等参截面的紧致子流形m ，证明了具有一平行等参截面的子流形m ，如果m的截面曲率恒正，则m包含在r ~ m ( c )的一个超球面内；对于常曲率空间及r ~ 4 ( c )中具有常平均曲率的紧致曲面m ，如果m的高斯曲率处处大于零，则m或为r ~ m ( c )中的全测地曲面或为一球面。这里m上的等参截面是m上整体定义的单位法向量场，使得m关于它的平均曲率m _ 1 ( )是常数。 |
- Similar Words：
- "gauss condition" English translation, "gauss conditions" English translation, "gauss conformal projection" English translation, "gauss constant" English translation, "gauss convergence test" English translation, "gauss curve" English translation, "gauss differential equation" English translation, "gauss distribution" English translation, "gauss divergence" English translation, "gauss divergence theorem" English translation
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