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设$\mathbb{F}_q^{2\nu}$是$q$元有限域$\mathbb{F}_q$上的$2\nu$ 维辛空间. 对于给定的整数$0\leq m\leq \nu$, 设${\cal M}(m,0;2\nu)$是$\mathbb{F}_q^{2\nu}$的所有$m$ 维全迷向子空间的集合, 而${\cal M}(2\nu)=\bigcup_{m=0}^\nu{\cal M}(m,0;2\nu)$...
Let G be a classical complex Lie group, P any parabolic subgroup of G, and X = G/P the corresponding homogeneous space, which parametrizes (isotropic) partial flags of subspaces of a fix...
Let E be a symplectic vector space of dimension 2n (with the standard antidiagonal symplectic form) and let G be the Lagrangian Grassmannian over SpecZ, parametrizing Lagrangian subspaces in E over...
We present a new third-order central scheme for approximating solutions of systems of conservation laws in one and two space dimensions. In the spirit of Godunov-type schemes, our method is based on r...
The work of Fricke-Klein [20] develops the deformation theory of hyperbolic structures on a surface Σ in terms of the space of representations of its fundamental group damental group π = π1(Σ) in SL(...
The Einstein universe is the conformal compactification of Minkowski space. It also arises as the ideal boundary of anti-de Sitter space. The purpose of this article is to develop the syntheti...
NONSTANDARD LORENTZ SPACE FORMS     lorentz  Space form       2015/9/29
In their recent paper [8], Kulharni and Raymond show that a closed 3-manifold which admits a complete Lorentz metric of constant curvature 1 (henceforth called a complete Lorentz structure) must be ...
A flat Lorentz space form is a geodesically complete Lorentzian manifold of zero curvature. It is well known (see Auslander & Markus [3]) that such a space M may be represented as a quotient Rw /Γ,...
We construct a natural smooth compacti cation of the space of smooth genus-one curves with k distinct points in a projective space. It can be viewed as an analogue of a well-known smooth compacti ca...
The latter two descriptions do not distinguish any of the six points. Of course, these descriptions are equivalent to the traditional one (x1.4) there is after all only one nontrivial outer automor...
Rizzi (1989), developing a proposal first made in Rizzi (1988) and incorporating an important modification from Cinque (1989), argues that whether wh- expressions can undergo so-called ``long'' moveme...
Evolutionary game theory has recently emerged as a key paradigm in various behavioral science disciplines. In particular it provides powerful tools and a conceptual framework for the analysis of the t...
给出了实线性锥距离空间的概念,其中锥距离取值到没有拓扑结构的实线性空间,并在实线性锥距离空间中建立了几个新的不动点定理.利用非线性标量化函数证明了这些不动点定理与距离空间中相应形式的不动点定理等价.我们的结果改进了锥距离空间中的一些现有不动点定理.
用符号逻辑的方式,证明在无穷多个任意单连通闭合曲线坐标系[包括正交曲线坐标系和非正交曲线坐标系]Green公式的存在, 将二重积分推广到无穷多个任意单连通闭合曲线坐标系,实现任意平面区域二重积分,实现流形上的Green公式和流形积分,实现向量场(平面电场、平面磁场、平面流体场等)和数量场在任意自由平面区域的积分计算.
We study hypersurfaces either in the De Sitter space Sn+1 1 ⊂ Rn+2 1 or in the anti De Sitter space Hn+1 1 ⊂ Rn+2 2 whose position vector satisfies the condition Lk = A + b,

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