共查询到20条相似文献,搜索用时 15 毫秒
1.
We prove general reduction theorems for gauge natural operators transforming principal connections and classical linear connections on the base manifold into sections of an arbitrary gauge natural bundle. Then we apply our results to the principal prolongation of connections. Finally we describe all such gauge natural operators for some special cases of a Lie group G. 相似文献
2.
Ivan Kolář 《Central European Journal of Mathematics》2003,1(3):360-366
For a linear r-th order connection on the tangent bundle we characterize geometrically its integrability in the sense of the theory of higher
order G-structures. Our main tool is a bijection between these connections and the principal connections on the r-th order frame bundle and the comparison of the torsions under both approaches. 相似文献
3.
Paul Popescu 《Central European Journal of Mathematics》2004,2(5):826-839
Some geometric objects of higher order concerning extensions, semi-sprays, connections and Lagrange metrics are constructed
using an anchored vector bundle.
The paper was partially supported by a 2005 MEC-CNCSIS grant. 相似文献
4.
A classification of locally homogeneous connections on 2-dimensional manifolds via group-theoretical approach 总被引:1,自引:0,他引:1
Oldřich Kowalski Barbara Opozda Zdeněk Vlášek 《Central European Journal of Mathematics》2004,2(1):87-102
The aim of this paper is to classify (lócally) all torsion-less locally homogeneous affine connections on two-dimensional
manifolds from a group-theoretical point of view. For this purpose, we are using the classification of all non-equivalent
transitive Lie algebras of vector fields in ℝ2 according to P.J. Olver [7]. 相似文献
5.
A method is put forward to establish the lower bounds for somen-color classical Ramsey numbers
. With this method six new explicit lower boundsR
4(4) ≥458,R
3(5) ≥ 242,R
3(6)≥1070,R
3(7) ≥ 1214,R
3(8) ≥2834 andR
3(9) ≥ 5282 are obtained using a computer.
Project supported by Guangxi Natural Science Foundation 相似文献
6.
Masafumi Akahira Kei Takeuchi 《Annals of the Institute of Statistical Mathematics》1989,41(4):725-752
We consider the estimation problem of a location parameter on a sample of size n from a two-sided Weibull type density % MathType!MTEF!2!1!+-% feaafeart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn% hiov2DGi1BTfMBaeXafv3ySLgzGmvETj2BSbqefm0B1jxALjhiov2D% aebbfv3ySLgzGueE0jxyaibaiiYdd9qrFfea0dXdf9vqai-hEir8Ve% ea0de9qq-hbrpepeea0db9q8as0-LqLs-Jirpepeea0-as0Fb9pgea% 0lrP0xe9Fve9Fve9qapdbaqaaeGacaGaaiaabeqaamaabaabcaGcba% GaamOzaiaacIcacaWG4bGaeyOeI0IaeqiUdeNaaiykaiabg2da9iaa% doeacaGGOaGaeqySdeMaaiykaiGacwgacaGG4bGaaiiCaiaacIcacq% GHsislcaGG8bGaamiEaiabgkHiTiabeI7aXjaacYhadaahaaWcbeqa% aiabeg7aHbaakiaacMcaaaa!52AD!\[f(x - \theta ) = C(\alpha )\exp ( - |x - \theta |^\alpha )\] for –<x<, –<< and 1<a<3/2, where % MathType!MTEF!2!1!+-% feaafeart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn% hiov2DGi1BTfMBaeXafv3ySLgzGmvETj2BSbqefm0B1jxALjhiov2D% aebbfv3ySLgzGueE0jxyaibaiiYdd9qrFfea0dXdf9vqai-hEir8Ve% ea0de9qq-hbrpepeea0db9q8as0-LqLs-Jirpepeea0-as0Fb9pgea% 0lrP0xe9Fve9Fve9qapdbaqaaeGacaGaaiaabeqaamaabaabcaGcba% Gaam4qaiaacIcacqaHXoqycaGGPaGaeyypa0JaeqySdeMaai4laiaa% cUhacaaIYaGaeu4KdCKaaiikaiaaigdacaGGVaGaeqySdeMaaiykai% aac2haaaa!4B0E!\[C(\alpha ) = \alpha /\{ 2\Gamma (1/\alpha )\} \]. Then the bound for the distribution of asymptotically median unbiased estimators is obtained up to the 2a-th order, i.e., the order % MathType!MTEF!2!1!+-% feaafeart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn% hiov2DGi1BTfMBaeXafv3ySLgzGmvETj2BSbqefm0B1jxALjhiov2D% aebbfv3ySLgzGueE0jxyaibaiiYdd9qrFfea0dXdf9vqai-hEir8Ve% ea0de9qq-hbrpepeea0db9q8as0-LqLs-Jirpepeea0-as0Fb9pgea% 0lrP0xe9Fve9Fve9qapdbaqaaeGacaGaaiaabeqaamaabaabcaGcba% GaamOBamaaCaaaleqabaGaeyOeI0IaaiikaiaaikdacqaHXoqycqGH% sislcaaIXaGaaiykaiaac+cacaaIYaaaaaaa!4444!\[n^{ - (2\alpha - 1)/2} \]. The asymptotic distribution of a maximum likelihood estimator (MLE) is also calculated up to the 2a-th order. It is shown that the MLE is not 2a-th order asymptotically efficient. The amount of the loss of asymptotic information of the MLE is given. 相似文献
7.
Ferenc Móricz 《Acta Mathematica Hungarica》2008,120(4):355-366
We introduce the higher order Lipschitz classes Λ
r
(α) and λ
r
(α) of periodic functions by means of the rth order difference operator, where r = 1, 2, ..., and 0 < α ≦ r. We study the smoothness property of a function f with absolutely convergent Fourier series and give best possible sufficient conditions in terms of its Fourier coefficients
in order that f belongs to one of the above classes.
This research was supported by the Hungarian National Foundation for Scientific Research under Grant T 046 192. 相似文献
8.
In this paper a new definition of a lattice valued intuitionistic fuzzy set (LIFS) is introduced, in an attempt to overcome
the disadvantages of earlier definitions. Some properties of this kind of fuzzy sets and their basic operations are given.
The theorem of synthesis is proved: For every two families of subsets of a set satisfying certain conditions, there is an
lattice valued intuitionistic fuzzy set for which these are families of level sets.
The research supported by Serbian Ministry of Science and Technology, Grant No. 1227. 相似文献
9.
Helga Baum 《Annals of Global Analysis and Geometry》1994,12(1):193-209
We prove a sharp lower bound for the first positive eigenvalue of Dirac operators coupled to instantons and discuss the limit case. 相似文献
10.
Antanas Laurinčikas 《Central European Journal of Mathematics》2005,3(4):580-590
A limit theorem in the sense of the weak convergence of probability measures in the space of meromorphic functions for the
Estermann zeta-function is obtained.
Partially supported by Lithuanian Foundation of Studies and Science 相似文献
11.
Splitting theorems for stable causal spacetimes admitting certain metric related reference frames are obtained in connection to timelike geodesic incompletenes.Partially supported by a project XUGA 20701B93 (Spain)Supported by a fellowship from TUBITAK-BAYG (Turkey) 相似文献
12.
Here we prove a limit theorem in the sense of the weak convergence of probability measures in the space of meromorphic functions
for a general Dirichlet series. The explicit form of the limit measure in this theorem is given.
Partially supported by Lithuanian Foundation of Studies and Science 相似文献
13.
Aboubakr Bayoumi 《Central European Journal of Mathematics》2005,3(1):76-82
We extend Bolzano’s intermediate-value theorem to quasi-holomorphic maps of the space of continuous linear functionals from
l
p
into the scalar field, (0< p<1). This space is isomorphic to l
∞. 相似文献
14.
Mehmet A. Özarslan 《Central European Journal of Mathematics》2009,7(2):357-362
In this paper, we obtain some approximation theorems for k- positive linear operators defined on the space of analytical functions on the unit disc, via I-convergence. Some concluding remarks which includes A-statistical convergence are also given.
相似文献
15.
MUCHUNLAI TANGXIANJIANG 《高校应用数学学报(英文版)》1998,13(1):31-38
In this paper L^p-L^q estimates for the solution u(x,t) to the following perturbed high-er order hyperbolic equation are considered, (ρπ--a△)(ρπ--b△)u V(x)u=O, x∈R^n,n≥6, ρ1eu(x,O) = O, ρ^3eu(x,O) = f(x), (j = O,1,2).We assume that the otential V(x) and the initial data f(x) are compactly supported, andV(x) is sufficiently small, then the solution u (x,t) of the above problem satisfies the same L^p-L^q estimates as that of the unperturbed problem. 相似文献
16.
Igor M. Novitskiî 《Central European Journal of Mathematics》2005,3(4):654-665
In this paper, we prove that every unbounded linear operator satisfying the Korotkov-Weidmann characterization is unitarily
equivalent to an integral operator in L
2(R), with a bounded and infinitely smooth Carleman kernel. The established unitary equivalence is implemented by explicitly
definable unitary operators. 相似文献
17.
S. N. M. Ruijsenaars 《Theoretical and Mathematical Physics》2008,154(3):418-432
We construct an explicit action-angle map for the classical hyperbolic Askey-Wilson dynamics (also known as the relativistic
BC1 Calogero-Moser system), restricting the four coupling constants such that no bound states occur. Its features are exact classical
analogues of features previously obtained for the quantum eigenfunction transformation. Our construction involves neither
scattering theory nor a Lax matrix; instead, it is based on a certain self-duality identity.
__________
Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 154, No. 3, pp. 492–509, March, 2008. 相似文献
18.
For natural numbers r,s,q,m,n with s≥r≤q we determine all natural functions g: T
*(J
(r,s,q)(Y, R
1,1)0)*→R for any fibered manifold Y with m-dimensional base and n-dimensional fibers. For natural numbers r,s,m,n with s≥r we determine all natural functions g: T
*(J
(r,s)
(Y, R)0)*→R for any Y as above. 相似文献
19.
Seiki Nhikawa Philippe Tondeur Lieven Vanhecke 《Annals of Global Analysis and Geometry》1992,10(3):291-304
Let F be a Riemannian foliation on a Riemannian manifold (M, g), with bundle-like metric g. Aside from the Laplacian △g associated to the metric g, there is another differential operator, the Jacobi operator J▽, which is a second order elliptic operator acting on sections of the normal bundle. Its spectrum is discrete as a consequence of the compactness of M. Hence one has two spectra, spec (M, g) = spectrum of △g (acting on functions), and spec (F, J▽) = spectrum of J▽. We discuss the following problem: Which geometric properties of a Riemannian foliation F on a Riemannian manifold (M, g) are determined by the two types of spectral invariants? 相似文献
20.
We prove some general rigidity theorems for both elliptic and higher elliptic genera under a natural condition on the first equivariant Pontrjagin classes. We also obtain the vanishing of some higher elliptic genera.Both authors are supported in part by NFS 相似文献