共查询到20条相似文献,搜索用时 78 毫秒
1.
Let Mn+p-1 denote the class of functions f(z) = 1/zp+a0/zp-2+a1/zp-2+…+an+p-1zn+…, regular and p-valent in the annulus 0<|z|<1 and satisfying Re((Dn+p f(z))/(Dn+p-1 f(z)))-2)<-(n+p-1)/(n+p),|z|<1,n>-p where Dn+p-1 f(z)=1/zp((zn+2p-1f(z))/(n+p-1)!)(n+p-1).Mn+p?Mn+p-1 is proved. Since M0 is the subclass of p-valent meromorphically starlike functions, all functions in Mn + p-1 are p-valent meromorphically star-like functions. Further the integrals of functions in Mn+p-1, are considered. 相似文献
2.
本文把[1]的结论推广到超曲面是完备的情形,即我们证明了:设M3是单位球面S4(1)中常平均曲率及常数量曲率的完备超曲面。若S≤H2+6,则S只能等于1/3H2,3/4H2—1/4(H4+8H2)1/2+3,(3/4)H2+1/4(H4+8H2)1/2相似文献
3.
金敬森 《数学物理学报(A辑)》2009,29(4):1138-1143
设d是一个正整数, N d是d -维正整数格点.设{Xn , n∈N d} 是一同分布的负相伴随机场, 记Sn =∑k≤ n Xk, Sn(k)=Sn-Xk, 如果r >2, EX1 = 0 和σ2= Var(X1}, 则存在一个正数M:=100√(r-2)(1+σ2)使得下列条件等价
(I)E |X1|r (log|X1|)d-1-r/2 <∞;
(II)∑n∈ Nd |n|r/2-2P(max1≤ k≤ n |Sn(k)|≥ (2d+1 )ε√|n| log |n |) <∞,∨ε > M;
(III)∑n∈N d |n|r/2-2P(max1≤ k≤n |Sk |≥ε√| n} log| n |) <∞,∨ε > M.
(III)\ \ $\sum\limits_{{{\bf n}}\in {{\cal N}}^{d}} |n|^{r/2-2}
P(\max\limits_{{\bf 1}\leq{\bf k}\leq{\bf n}}|S_{{\bf k}}|\geq
\varepsilon \sqrt{|{\bf n}|\log |{\bf n}|})<\infty$,
$\forall\varepsilon>M$. 相似文献
4.
S.S.Chern,M.Do Carmo和S.Kobayashi在[1]文中讨论了Sn+p(1)中的紧致极小子流形。本文将[1]中的结论推广到了共形平坦空间. 相似文献
5.
设f:Mm→Nn(m≤n)是任一映射,Mm和Nn是微分流形,S1是T(M)→T(N)的单同态的同伦类的集合,Vf是f的稳定法丛的余维为n-m的标架场的同伦类的集合。本文证明了:当M的同伦维数≤n-2时,Sf与Vf一一对应,且这一对应与z1(NM,f)的作用交换,这使得我们容易计算Sf(因为对Vf的计算比较有办法),而且得到结论:当M的同伦维数≤n-2时,M→N的浸入的存在和分类仅依赖于M和N的稳定切丛。 相似文献
6.
共形平坦黎曼流形中具有平行第二基本形式的超曲面 总被引:1,自引:1,他引:0
In this paper, we prove the followingTheorem. Let Cn+1 ( n >5 ) be a conformally flat Riemannian anifola of dimension n + 1 . If Mn is a hypersurface immersed isometrically in Cn+1 over which the second fundamental form is covariant constant, then there are three posible cases only:I . locally Mn= Sp×Sq×Sr, p+q+r=n;Ⅱ . locally Mn=Sp×Sq, p + q = n , where Sk is k- dimensional Riemannian space of constant curvature;III. Mn is umbilical and conformally flat. Moreover, if Mn is connected and complete, then the result holds globally. 相似文献
7.
设(S,≤)是严格全序幺半群,M和N是左R-模。记A=[[RS,≤]]。证明了如下结论:(1)如果(S,≤)是有限生成的且对任意s∈S有0≤s,则Epi([[RS,≤]][[MS,≤]]) = Epi([[RS,≤]][[NS,≤]])当且仅当Epi(M)=Epi(N);(2)如果(S,≤)是Artinianr ,则 Mono([[RS,≤]][MS,≤])= Mono([[RS,≤]][NS,≤])当且仅当Mono(M)=Mono(N). 相似文献
8.
9.
10.
设P=(p0,p1,…,pn-1)与Q=(q0,q1,…,qn-1)是任二互不相交的凸多边形,本文研究了如何快速确定它们的可碰撞区域和可移动区域的问题. 文中提出了可碰撞性判定的新方法,研究了斜支撑线的基本性质,利用这些性质构造出了求斜支撑线的快速算法,其时间复杂度为O(log2(n+m)),在此基础上给出了确定可碰撞区域和可移动区域的时间复杂度为O(log2(n+m))的快速算法. 相似文献
11.
Atsushi Fujioka 《Proceedings of the American Mathematical Society》1999,127(10):3021-3025
We define surfaces with harmonic inverse mean curvature in space forms and generalize a theorem due to Lawson by which surfaces of constant mean curvature in one space form isometrically correspond to those in another. We also obtain an immersion formula, which gives a deformation family for these surfaces.
12.
In this paper, we obtain a constraint of the mean curvature for proper biharmonic submanifolds in a sphere. We give some characterizations
of some proper biharmonic submanifolds with parallel mean curvature vector in a sphere. We also construct some new examples
of proper biharmonic submanifolds in a sphere. 相似文献
13.
Non-spherical hypersurfaces inE
4 with non-zero constant mean curvature and constant scalar curvature are the only hypersurfaces possessing the following property: Its position vector can be written as a sum of two non-constant maps, which are eigenmaps of the Laplacian operator with corresponding eigenvalues the zero and a non-zero constant. 相似文献
14.
The main result of this paper states that the traceless second fundamental tensor A0 of an n-dimensional complete hypersurface M, with constant mean curvature H and finite total curvature, M |A0|n dvM < , in a simply-connected space form
(c), with non-positive curvature c, goes to zero uniformly at infinity. Several corollaries of this result are considered: any such hypersurface has finite index and, in dimension 2, if H
2 + c > 0, any such surface must be compact. 相似文献
15.
R.?Antonio Gon?alves J.?A.?Martínez Alfaro? A.?Montesinos-Amilibia? M.?C.?Romero-Fuster? 《Bulletin of the Brazilian Mathematical Society》2007,38(2):157-178
We define the relative mean curvature directions on surfaces immersed in ℝn, n ≥ 4, generalizing the concept of mean curvature directions for surfaces in 4-space studied by Mello. We obtain their differential
equations and study their corresponding generic configurations.
*Work partially supported by DGCYT grant no. MTM2004-03244 and Unimontes-BR.
†Work partially supported by DGCYT grant no. MTM2004-03244.
‡Work partially supported by DGCYT grant no. BFM2003-0203. 相似文献
16.
以[2]中经典微分几何问题为切入点,运用复数与三角工具广泛深入地探讨了“过曲面上一点有n条切线,若相邻两条切线的交角为2nπ,曲面法线与切线所定平面截得曲线的曲率半径为ρ1,ρ2,ρ3,…,ρn时,∑ni=11ρim,∑ni=1ρi,∏ni=1ρi的结果”,得到了法曲率与相关的三个有趣定理. 相似文献
17.
We give a complete classification of complete noncompact oriented surfaces with nonnegative Gaussian curvature and finite total mean curvature in R3. 相似文献
18.
This paper gives a classification of complete hypersurfaces with nonzero constant mean curvature and constant quasi-Gauss-Kronecker curvature in the hyperbolic space H4(-1),whose scalar curvature is bounded from below. 相似文献
19.
In this paper, the authors obtain the Backlund transformation on time-likesurfaces with constant mean curvature in R~(2,1). Using this transformation, families ofsurfaces with constant mean curvature from known ones can be constructed. 相似文献
20.
给出了拟Gauss-Kronecker曲率的定义,并研究了S~4(1)中具有常拟Gauss-Kro-necker曲率的超曲面的特性。 相似文献