搜索结果: 61-69 共查到“知识库 球面几何学”相关记录69条 . 查询时间(4.362 秒)
$\delta$ Viscosity Solution of Multidimensional......
多维Landau--Lifshitz方程 $\delta $-黏性上(下)解 平均曲率
2007/12/11
本文引入$\delta$-黏性上解, $\delta$-黏性下解和$\delta $-黏性解的概念, 给出一些相关性质, 利用这些性质证明取值于三维单位球面的多维Landau--Lifshitz方程的$\delta$-黏性上解和$\delta$-黏性下解的存在性,揭示存在两个不相交的开子集$M$和$N$,使得$\delta$-黏性上解和$\delta$-黏性下解在$M$内任一紧子集上趋于$(0,...
Weierstrass representation formulae of minimal surfaces in $H_3$ and $H^2\times R$
Minimal immersions Weierstrass representation Heisenberg group Hyperbolic space
2007/12/11
We give a general setting for constructing a Weierstrass representation formula for simply connected minimal surfaces in a Riemannian manifold. Then, we construct examples of minimal surfaces in the t...
Explicit Formula for the Hyperbolic Scattering Determinant
explicit formulas hyperbolic scattering determinant
2007/12/11
We prove the explicit formula for the hyperbolic scattering determinant in the case of a general subgroup $\Gamma $ of ${\rm PSL}\left( 2,\mathbb{R}\right) $. The class of test functions involved (not...
n-marked黎曼球面的对称性
有限群作用 对称性 模空间
2007/12/11
本文讨论了n-marked黎曼球面模空间上自然的对称群作用，计算出其全部的不动点及n-marked黎曼球面的对称类型，同时讨论了黎曼球面上$SL(2,C)$作用的动力系统特征，得出其周期性的一个描述，并在这些基础上给出n-punctured黎曼球面模空间的奇性刻画.
On Extension of Isometries between the Unit Spheres of Normed Space E and $C(\Omega)$
isometric mapping isometric extension Tingley's problem
2007/12/11
In this paper, we study the extension of isometries between the unit spheres of normed space $E$ and $C(\Omega)$. We obtain that any surjective isometry between the unit spheres of normed space $E$ an...
Local Isoperimetric Inequalities for Sectors on Surfaces and Cones
isoperimetric cones solid angle
2007/12/11
On surfaces we give conditions under which the solution of a restricted local isoperimetric problem for sectors with small solid angle is the circular sector and we characterize these surfaces. Also w...
Using a standard fact in hyperbolic geometry, we give a simple proof of the uniqueness of PL minimal surfaces, thus filling in a gap in the original proof of Jaco and Rubinstein. Moreover, in order to...
2k-连通4k+2-维闭法架流形分类问题的一些讨论
2k-连通4k+2-维闭法架流形分类问题
2007/12/10
本文将从两个方面讨论2k-连通4k+2-维闭法架流形的分类问题:①证明 Kervaire 不变量和上同调环可完全确定此类流形的同伦型.②证明 Kervaire 不变量为零的2k-连通4k+2-维闭法架流形在相差一个同伦球的意义下微分同胚于高维环面.
Unique Factorisation for Commutative Rings Without Identity
Irreducibility associates unique factorisation
2010/3/5
This paper concerns the unique factorisation property in commutative rings not necessarily with identity. We give a new definition of irreducibility and associates in a commutative ring with 1 (crwl),...