共查询到18条相似文献，搜索用时 171 毫秒
1.
研究了一类Einstein度量.得到这类度量在n维流形上具有1-形式S-曲率的等价条件,同时也给出了这类度量为弱-Berwald度量的充要条件是S-曲率为零. 相似文献
2.
对称的Finsler度量具有非常好的性质,有重要的研究价值.主要研究了对称的(α,β)度量的曲率性质,得到了对称的(α,β)度量的S-曲率,相对迷向平均Landsberg曲率之间的等价关系,并解决了沈忠民教授所提出的开放性问题的第4个问题中当F是(α,β)度量的情形是否存在对称的(α,β)度量,当它是非Berwald度量时有S=0. 相似文献
3.
主要研究了一类特殊的(α,β)-度量F=αφ(s),s=β/α,其中φ(s)是关于s的k(k≥2)次多项式,α是一个Riemann度量,β是一个1-形式.得到了如下结果:F是对偶平坦的度量且具有迷向S-曲率的充分必要条件是F是Minkowski度量. 相似文献
4.
研究了两类重要的分别形如F=αekβ/α和F=α+εβ+2kβ2/α-k2β4/3α3的芬斯勒度量,其中k≠0,ε为常数,α=((aij(x)yiyj)～(1/2))为黎曼度量,β=bi(x)yi为流形上的1-形式.得到了它们为局部射影平坦度量且具有迷向S-曲率的充要条件. 相似文献
5.
对称的(α,β)度量的性质 总被引：1，自引：0，他引：1
对称的Finsler度量具有非常好的性质,有重要的研究价值．主要研究了对称的（α,β）度量的曲率性质,得到了对称的（α,β）度量的S-曲率,相对迷向平均Landsberg曲率之间的等价关系,并解决了沈忠民教授所提出的开放性问题的第4个问题中当F是（α,β）度量的情形：是否存在对称的（α,β）度量,当它是非Berwald度量时有S=0． 相似文献
6.
研究了两类重要的分别形如F=α~2/(α-β)和F=α+εβ+kβ~2/α的(α,β)-度量,其中α=aij(x)yi yj为黎曼度量,β=bi(x)yi为流形上的1-形式,ε,k≠0为常数.得到了它们为局部射影平坦且具有迷向S-曲率的充要条件. 相似文献
7.
研究了一类具有迷向Ricci曲率的(α,β)-度量F=(α+β)~2/α,得到这类(α,β)-度量在n(n≥3)维流形上具有迷向Ricci曲率的充分必要条件.从而证明了在n(n≥3)维时,若这类(α,β)-度量具有常的Ricci曲率,则它的Ricci曲率为零.Abstract： In this paper,we consider the Finsler metric F =(α+β)~2/α,which has istropic Ricci curvature.We obtain the sufficient and necessary conditions for it to have istropic Ricci curvature on an n-dimension(n ≥ 3)manifold M.Then we prove that if such a Finsler metric on an n-dimension(n ≥3)manifold M has constant Ricci curvature,its Ricci curvature is zero. 相似文献
8.
计算了一类特殊的(α,β)-度量F=α εβ kβ2/α的Ricci曲率,证明了当流形维数n≥3时,若它具有迷向的Ricci曲率,则其Ricci曲率为零.从而得到若F=α εβ kβ2/α具有常数旗曲率K,则其旗曲率K为零. 相似文献
9.
研究了具有相对迷向平均Landsberg曲率的Matsumoto度量F=α2/(α-β),其中α=√aijyiyj为黎曼度量,β=biyi为1-形式.特别给出Matsumoto度量具有相对迷向平均Landsberg曲率的几个等价条件. 相似文献
10.
计算了一类特殊的（α,β）-度量F=α＋εβ＋κβ^2／α的Ricci曲率,证明了当流形维数n≥3时,若它具有迷向的Ricci曲率,则其Ricci曲率为零．从而得到若F=α＋εβ＋κβ^2/α具有常数旗曲率K,则其旗曲率K为零. 相似文献
11.
Here we provide global estimates of the seasonal flux of sediment, on a river-by-river basis, under modern and prehuman conditions. Humans have simultaneously increased the sediment transport by global rivers through soil erosion (by 2.3 +/- 0.6 billion metric tons per year), yet reduced the flux of sediment reaching the world's coasts (by 1.4 +/- 0.3 billion metric tons per year) because of retention within reservoirs. Over 100 billion metric tons of sediment and 1 to 3 billion metric tons of carbon are now sequestered in reservoirs constructed largely within the past 50 years. African and Asian rivers carry a greatly reduced sediment load; Indonesian rivers deliver much more sediment to coastal areas. 相似文献
12.
在Asplund空间中讨论随机集值隐函数的度量正则性,所使用的工具有Ekeland变分原理、Fermat原理、Lipschitz函数的次微分以及次梯度的加法原理等.首先,给出随机集值隐函数的局部度量正则性成立的充分条件.其次,利用上述结果,分别给出随机集值隐函数的度量正则性和Lipschitz性质成立的充分条件.所得结果改进了已有文献中的相关结果. 相似文献
13.
在假设违约过程和利率过程相关的情形下, 利用无套利原理构造了具有随机回收率的公司债券定价模型, 然后运用偏微分方程方法给出了公司债券的价格表达式，最后讨论了模型中的参数对信用利差的影响. 相似文献
14.
Nordtvedt KL 《Science (New York, N.Y.)》1972,178(4066):1157-1164
I have reviewed the historical and contemporary experiments that guide us in choosing a post-Newtonian, relativistic gravitational theory. The foundation experiments essentially constrain gravitation theory to be a metric theory in which matter couples solely to one gravitational field, the metric field, although other cosmological gravitational fields may exist. The metric field for any metric theory can be specified (for the solar system, for our present purposes) by a series of potential terms with several parameters. A variety of experiments specify (or put limits on) the numerical values of the seven parameters in the post-Newtonian metric field, and other such experiments have been planned. The empirical results, to date, yield values of the parameters that are consistent with the predictions of Einstein's general relativity. 相似文献
15.
Wildey RL 《Science (New York, N.Y.)》1984,224(4645):153-156
A mathematical theory and a corresponding numerical procedure have been developed to produce digital topography from radar images as digital photometric arrays. Thus, as radargrammetry is to photogrammetry, so radarclinometry is to photoclinometry. Photoclinometry encompasses a fundamental indeterminacy principle even for terrain that is homogeneous in normal albedo, because the surface normal consistent with a given reflected specific intensity is not unique. A geometric locus of such normal directions is implied, which generates a surface. For microwave backscatter, in specific application to radarclinometry, this surface is a cone whose half-angle is the incidence angle, whose axis contains the radar, and whose apex coincides with the terrain point. Although the indeterminacy can be removed if a properly directed profile of ground truth is available as a constraint, such is seldom the case. In its absence, an auxiliary assumption, such as that the strike line runs perpendicular to the illumination line, is needed. If metric integrity is a goal, then this is an absurd assumption. Herein, "the hypothesis of local cylindricity" has been assumed, a premise regarding the nature of topographic curvature that seems more realistic and that makes possible the production of topography as a set of parallel line integrals. 相似文献
16.
周斐德 《中国农业大学学报》1981,(4):71-78
测定 SO_4~(2-)方法很多,过去在常规分析中用的 BaSO_4重量法,其准确度虽高,但操作繁琐冗长,在大批样品的分析工作中不便使用。其它如联苯胺法、四羟基苯醌法、离子交换法及用铅离子选择电极指示的电位滴定法等亦有其明显的缺点,特别在 SO_4~(2-)含量低时,测 相似文献
17.
Roadless space of the conterminous United States 总被引：1，自引：0，他引：1
Watts RD Compton RW McCammon JH Rich CL Wright SM Owens T Ouren DS 《Science (New York, N.Y.)》2007,316(5825):736-738
Roads encroaching into undeveloped areas generally degrade ecological and watershed conditions and simultaneously provide access to natural resources, land parcels for development, and recreation. A metric of roadless space is needed for monitoring the balance between these ecological costs and societal benefits. We introduce a metric, roadless volume (RV), which is derived from the calculated distance to the nearest road. RV is useful and integrable over scales ranging from local to national. The 2.1 million cubic kilometers of RV in the conterminous United States are distributed with extreme inhomogeneity among its counties. 相似文献
18.
A global geometric framework for nonlinear dimensionality reduction 总被引：14，自引：0，他引：14
Scientists working with large volumes of high-dimensional data, such as global climate patterns, stellar spectra, or human gene distributions, regularly confront the problem of dimensionality reduction: finding meaningful low-dimensional structures hidden in their high-dimensional observations. The human brain confronts the same problem in everyday perception, extracting from its high-dimensional sensory inputs-30,000 auditory nerve fibers or 10(6) optic nerve fibers-a manageably small number of perceptually relevant features. Here we describe an approach to solving dimensionality reduction problems that uses easily measured local metric information to learn the underlying global geometry of a data set. Unlike classical techniques such as principal component analysis (PCA) and multidimensional scaling (MDS), our approach is capable of discovering the nonlinear degrees of freedom that underlie complex natural observations, such as human handwriting or images of a face under different viewing conditions. In contrast to previous algorithms for nonlinear dimensionality reduction, ours efficiently computes a globally optimal solution, and, for an important class of data manifolds, is guaranteed to converge asymptotically to the true structure. 相似文献