搜索结果: 61-75 共查到“球面几何学”相关记录78条 . 查询时间(6.112 秒)
本文讨论了严格凸赋范空间的$\ell^{\,\beta}$-和$(0<\beta \leq 1)$上单位球面间非满等距算子的延拓问题, 给出了此问题成立的充要条件.\
球面凸区域第一特征值的估计
2007/12/12
在[1]中,Brooks和Waksman用估计区域的Cheeger等周常数下界的方法,给出了平面上凸多边形关于Dirichilet边界的Laplace算子第一特征值的下界.在本文中,我们估计了球面上凸区域关于Dirichilet边界的第一特征值,这个估计当区域是多边形并且球面蜕化到平面的极限情形得出了[1]的结果.
常曲率球面到单位球面的等距极小浸入与嵌入
球面 极小浸入 极小嵌入
2007/12/12
本文主要估计了球面到单位球面的等距极小浸入的覆盖层数，从而导出一些有关嵌入的结果。同时，在本文证明过程中，给出了一个构造指定覆盖层数的等距极小浸入的方法．
球面上Peetre K－模和最佳逼近
d－维球面 PeetreK－模 光滑模 最佳逼近
2007/12/12
本文研究了球面上三种ＰｅｅｔｒｅＫ－模与最佳逼近的关系，建立起它们之间的若干强型和弱型不等式．此外，还讨论了Ｋ－模与光滑模的等价性．
设$p\geq 7$素数,$A$为模$p$的Steenrod代数. 我们利用Adams谱序列证明了球面稳定同伦群$\pi_{\ast}S$中,存在由$b_1g_0\tilde{\gamma}_{s}\in Ext_A^{s+4,(s+1)p^2q+spq+sq+s-3}(Z_p,Z_p)$所表示的新的非平凡元素族,其中$q=2(p-1)$, $3\leq s
Lagrangian Submanifolds Foliated by $(n-1)$-Spheres in $\R^{2n}$
Lagrangian submanifold special Lagrangian self-similar Hamiltonian stationary
2007/12/12
We study Lagrangian submanifolds foliated by $(n-1)$-spheres in $\R^{2n}$ for $n \geq 3$. We give a general parametrization for such submanifolds, and refine that description when the submanifold is s...
Volume-preserving Fields and Reeb Fields on
Volume-preserving fields Contact Contact forms Reeb-like fields Volume-preserving sphere Poisson matrices
2007/12/11
Volume-preserving field} $X$ on a 3-manifold is the one that satisfies $L_X\Omega\equiv 0$ for some volume $\Omega$. The Reeb vector field of a contact form is of volume-preserving, but not conversely...
Global Existence of a Shock for the Supersonic Flow Past a Curved Wedge
potential equation shock wave wedge global existence
2007/12/11
This note is devoted to the study of the global existence of a shock wave for the super- sonic flow past a curved wedge. When the curved wedge is a small perturbation of a straight wedge and the angle...
$\delta$ 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...