共查询到20条相似文献,搜索用时 0 毫秒
1.
We study surfaces M
2 in the four-dimensional affine space
equipped with its usual torsion-free connection D and parallel volume form given by the determinant. 相似文献
2.
CH~2中的曲面 M称为(局部)齐性的,如果对任何一对点 p,q,存在变换。 σ U(1,2)把含p的一个邻域变为含q的邻域,且把q变为q.本文给出CH2中齐性曲面的完全分类. 相似文献
3.
4.
The nondegenerate affine locally symmetric surfaces in R^4 with the transversal bundle defined by Nomizu and Vrancken have been studied and a complete classification of the locally symmetric surfaces with flat normal bundle has been given. 相似文献
5.
证明了如下结果:设x:M^2→S^n(n≥3)是不含脐点的曲面,若x的法丛平坦,则x的Moebius形式φ平行(△↓φ=O)当且仅当φ=0. 相似文献
6.
We conjecture a strong property for the up and down maps U and D in an r-differential poset: DU + tI and UD + tI have Smith normal forms over . In particular, this would determine the integral structure of the maps U, D, UD, DU, including their ranks in any characteristic. As evidence, we prove the conjecture for the Young-Fibonacci lattice Y
F studied by Okada and its r-differential generalizations Z(r), as well as verifying many of its consequences for Young’s lattice Y and the r-differential Cartesian products Y
r
. 相似文献
7.
Ruled real hypersurfaces of complex space forms are investigated by using the fact that such hypersurfaces can be constructed by moving a 1-codimensional complex totally geodesic submanifold of the ambient space along a curve. Among other results, a classification of minimal ruled real hypersurfaces and an example of a homogeneous ruled real hypersurface are given. 相似文献
8.
9.
周梦 《应用数学与计算数学学报》2001,15(2):79-84
该文以数学方法论证了一类网络成本分配函数的性质,证明了成本分配函数具有规范形式的充要条件是它满足无记名性,可加性和等价性。并进一步论证了若成本分配函数还具有对成员数的单调递减性,它必是下游均等分配函数。 相似文献
10.
In this paper we study nondegenerate affine surfaces in the 4-dimensional affine space
. We assume that both the connection and the normal connection induced by the canonical equiaffine transversal bundle are flat. Surfaces with constant equiaffine transversal bundle are trivial examples of such surfaces. Here, we obtain a complete classification of all such surfaces which do not have constant equiaffine normal bundle. 相似文献
11.
12.
Let M be a closed surface with positive Gauss curvature minimally immersed in a standard Euclidean unit sphere S~n.In this paper,we choose a local orthonormal frame field on M,under which the shape operators have very convenient form.We also give some applications of this kind of frame field. 相似文献
13.
Guoting Chen 《Numerical Algorithms》2001,27(1):1-33
We study Lie's method in the way of Ushiki for further reduction of normal forms for vector fields with singularity at the origin. We give further reduction of normal forms in two typical cases for vector fields in dimension 2: one with a rotation as its linear part and the other with a nilpotent linear part. 相似文献
14.
Let X be a regular separated scheme of finite Krull dimensionand let be the punctured affine n-space over X. We show that the total graded Witt ring of is a free graded module over the totalgraded Witt ring of X with two generators 1 and . The secondgenerator satisfies the equation 2 = 1 when n = 1 and 2 = 0when n 2. 2000 Mathematics Subject Classification 11E81, 19G12. 相似文献
15.
关于常系数齐次线性微分方程组的解法研究 总被引:1,自引:0,他引:1
利用凯莱-哈密顿定理给出矩阵指数函数eAt的简洁计算方法;同时利用约当标准形推导出求常系数齐次线性微分方程组通解的循环公式. 相似文献
16.
Let the column vectors of X:: M×N, M<N, be distributed as independent complex normal vectors with the same covariance matrix Σ. Then the usual quadratic form in the complex normal vectors is denoted by Z=XLXH where L: N×N is a positive definite hermitian matrix. This paper deals with a representation for the density function of Z in terms of a ratio of determinants. This representation also yields a compact form for the distribution of the generalized variance |Z|. 相似文献
17.
Hiroaki Taniguchi 《Geometriae Dedicata》2000,80(1-3):99-123
Let k, K be fields, and assume that |k| 4 and n, m 2, or |k| = 3 and n 3, m 2. Then, for any embedding of AG(n, k) into PG(m, K), there exists an isomorphism from k into K and an (n+1) × (m+1) matrix B with entries in K such that can be expressed as (x1,x2,...,xn) = [(1,x1
,x2
,...,xn
)B], where the right-hand side is the equivalence class of (1,x1
,x2
,...,xn
)B. Moreover, in this expression, is uniquely determined, and B is uniquely determined up to a multiplication of element of K*. Let l 1, and suppose that there exists an embedding of AG(m+l, k) into PG(m, K) which has the above expression. If we put r = dim
k
K, then we have r 3 and m > 2 l-1)/(r-2). Conversely, there exists an embedding of AG(l+m, k) into PG(m, K) with the above expression if K is a cyclic extension of k
with dim
k
K=r 3, and if m 2l/(r-2) with m even or if m 2l/(r-2) +1 with m odd. 相似文献
18.
We survey and discuss Poincaré–Dulac normal forms of maps near a fixed point. The presentation is accessible with no particular prerequisites. After some introductory material and general results (mostly known facts) we turn to further normalization in the simple resonance case and to formal and analytic infinitesimal symmetries.Mathematics Subject Classifications (2000) 37G05, 39A11.Todor Gramchev: The author is supported by a NATO grant PST.CLG.979347 and GNAMPA–INDAM, Italy. 相似文献
19.
Xiaosong Sun 《代数通讯》2013,41(7):2821-2840
In this paper, we present a classification of quadratic homogeneous automorphisms in dimension 5 up to linear conjugation. As a consequence, we give an affirmative answer to the Rusek Conjecture in dimension 5. 相似文献
20.
On the Construction of Affine Extractors 总被引:1,自引:0,他引:1
Jean Bourgain 《Geometric And Functional Analysis》2007,17(1):33-57
In this paper, we address the problem of explicit construction of so-called ‘affine extractors’ of δ-entropy ratio, when δ
≤ 1/2 (for δ > 1/2, there is a well-known and easy example based on the Hadamard function). We first give examples for δ
slightly below 1/2 and produce then a construction for arbitrary given δ > 0. All these examples are again of a simple algebraic
nature. The mathematics involved includes recent developments in the sum-product theory in finite fields and certain new bounds
on multilinear exponential sums.
Supported in part by NSF grant DMS 0322370.
Submitted: May 2005 Accepted: February 2006 相似文献