共查询到18条相似文献,搜索用时 359 毫秒
1.
第一类超Cartan域上的不变度量 总被引:2,自引:0,他引:2
首先证明超Cartan域Y_I(k;N;m,n)为凸域的充分必要条件是2k■m;接着讨论了在超Cartan域上四类经典的不变度量,即Bergman度量、Caratheodory度量、Kobayashi度量和Einstein-Kahler度量的等价性;最后通过计算得到了超Cartan域Y_I(1;N;2,n)和Y_I(2;N;2,n)上的Caratheodory度量(和Kobayashi度量)的显表达式. 相似文献
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讨论了第四类超Cartan域Y_(Ⅳ)(N;n;k)上的极值问题,得到了第四类超Car- tan域与单位超球间的极值和极值映照. 相似文献
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第三类超Cartan域上的比较定理 总被引:1,自引:0,他引:1
本文给出了第三类超Cartan域上不变Kalher度量下的全纯截曲率的表达式.利用其Bergman度量的完备性,构造了一个不比Bergman度量小的完备的不变Kalher度量,证明了在此Kalher度量下的全纯截曲率有一个负上界,从而证明了第三类超Cartan域的Bergman度量与Kobayashi度量的比较定理. 相似文献
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华罗庚域的特殊类型Cartan-Hartogs域Y_Ⅱ(N,p;K)当K=p/2 1/(p 1)时,求解了该域上的复Monge-Ampère方程的边值问题,从而得到该域的完备K■hler-Einstein度量的显表达式,并且得到此度量下的全纯截曲率的负的上下确界,最后证明了此K■hler-Einstein度量与Bergman度量等价。 相似文献
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关于Fuzzy度量点式刻画的一点注记 总被引:3,自引:0,他引:3
本文中重新定义由一个点式Fuzzyp.q.度量d所诱导的Fuzzyp.q.度量{Dr|r>0}(代替[1]中的相关重域映射族).在新的定义下,点式Fuzzyp.q.(p.)度量与Fuzzyp.p.(p.)度量之间有令人满意的──对应关系. 相似文献
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In this work, the authors introduce the concept of
$(p,q)$-quasi-contraction mapping in a cone metric space. We prove
the existence and uniqueness of a fixed point for a
$(p,q)$-quasi-contraction mapping in a complete cone metric space.
The results of this paper generalize and unify further fixed point
theorems for quasi-contraction, convex contraction mappings and
two-sided convex contraction of order $2$. 相似文献
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We investigate tilings of the integer lattice in the Euclidean n-dimensional space. The tiles considered here are the union of spheres defined by the Manhattan metric. We give a necessary condition for the existence of such a tiling for Z
n
when n 2. We prove that this condition is sufficient when n=2. Finally, we give some tilings of Z
n
when n 3. 相似文献
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Ferenc Wettl 《Journal of Geometry》1987,30(2):157-163
In this paper we study subset N(K) of a set K the points of which are not in a collinear triplet of K and prove that ¦N(K)¦(q+1)/2 or N(K)=K if K is a (q+1)-set of PG(2,q). We describe all the k-arcs of AG(2,q) the secants of which meet the ideal line exactly in k points.Dedicated to Professor Ferenc Kárteszi on his 80th birthday 相似文献
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Peter A. Hästö 《Journal of Mathematical Analysis and Applications》2005,301(2):336-353
In the first part of this investigation we generalized a weighted distance function of R.-C. Li's and found necessary and sufficient conditions for it being a metric. In this paper some properties of this so-called M-relative metric are established. Specifically, isometries and quasiconvexity results are derived. We also illustrate connections between our approach and generalizations of the hyperbolic metric. 相似文献
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一类集值映射的周期点与混沌 总被引:1,自引:0,他引:1
邓义华 《数学的实践与认识》2007,37(21):131-134
设X为完备的紧致度量空间,k(X)为X的所有非空紧子集赋予Hausdorff度量所得的空间,■为f到k(X)的自然扩张.本文研究了动力系统(k(X),■)与动力系统(X,f)的周期点之间的相互关系.利用所得结论,彻底解决了Fedeli和廖公夫等人提出的一些公开问题. 相似文献
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J. M. Kim 《Acta Mathematica Hungarica》2003,100(4):265-270
We show that in dimension 8, a semiflat metric is flat and that in dimension (8k+4) higher than 8, a semiflat metric does not necessarily imply flat.
This revised version was published online in June 2006 with corrections to the Cover Date. 相似文献
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Within the framework of Bayesian inference, when observations are exchangeable and take values in a finite space X, a prior P is approximated (in the Prokhorov metric) with any precision by explicitly constructed mixtures of Dirichlet distributions. Likewise, the posteriors are approximated with some precision by the posteriors of these mixtures of Dirichlet distributions. Approximations in the uniform metric for distribution functions are also given. These results are applied to obtain a method for eliciting prior beliefs and to approximate both the predictive distribution (in the variational metric) and the posterior distribution function of d
(in the Lévy metric), when
is a random probability having distribution P. 相似文献