共查询到20条相似文献,搜索用时 31 毫秒
1.
Giorgio Trentinaglia 《Journal of Pure and Applied Algebra》2010,214(6):750-768
By replacing the category of smooth vector bundles of finite rank over a manifold with the category of what we call smooth Euclidean fields, which is a proper enlargement of the former, and by considering smooth actions of Lie groupoids on smooth Euclidean fields, we are able to prove a Tannaka duality theorem for proper Lie groupoids. The notion of smooth Euclidean field we introduce here is the smooth, finite dimensional analogue of the usual notion of continuous Hilbert field. 相似文献
2.
引入了强smooth格的概念,讨论了smooth格与强smooth格的一些基本性质,证明了强smooth格可用保任意交和Scott闭集之并的映射嵌入到某方体[0,1]X之中. 相似文献
3.
Yifei Pan 《manuscripta mathematica》1996,90(1):317-331
In this paper we prove a global boundary behavior result on biholomorphic mappings between smooth bounded domains in complex
space of any dimension. As a consquence, we have that the inverse of a biholomorphic mapping between smooth bounded domains
is smooth up to the boundary if the mapping is smooth up to the boundary. 相似文献
4.
Lance D. Drager Jeffrey M. Lee Efton Park Ken Richardson 《Annals of Global Analysis and Geometry》2012,41(3):357-369
A subbundle of variable dimension inside the tangent bundle of a smooth manifold is called a smooth distribution if it is
the pointwise span of a family of smooth vector fields. We prove that all such distributions are finitely generated, meaning
that the family may be taken to be a finite collection. Further, we show that the space of smooth sections of such distributions
need not be finitely generated as a module over the smooth functions. Our results are valid in greater generality, where the
tangent bundle may be replaced by an arbitrary vector bundle. 相似文献
5.
One of the main properties of Hochschild homology of the algebra of smooth functions on a smooth manifold is its local character. In this paper, we consider subalgebras of smooth functions which are significant for singular spaces such that simplicial complexes or cones over smooth manifolds. We compute their Hochschild homology and investigate the local character. Our computations show that, in opposition with the smooth case, the (local part of the) Hochschild homology is not always isomorphic to the corresponding de Rham complex of differential forms. The method we use is a slight modification of the localization procedure introduced in by Sullivan. 相似文献
6.
It is shown that, under some natural assumptions, the tensor product of differentially smooth algebras and the skew-polynomial rings over differentially smooth algebras are differentially smooth. 相似文献
7.
8.
In this paper we study very smooth points of Banach spaces with special emphasis on spaces of operators. We show that when
the space of compact operators is anM-ideal in the space of bounded operators, a very smooth operatorT attains its norm at a unique vectorx (up to a constant multiple) andT(x) is a very smooth point of the range space. We show that if for every equivalent norm on a Banach space, the dual unit ball
has a very smooth point then the space has the Radon-Nikodym property. We give an example of a smooth Banach space without
any very smooth points. 相似文献
9.
T. Ismagilov 《Computational Mathematics and Mathematical Physics》2006,46(3):453-464
An integral conservation law is derived for smooth volume in Lagrangian coordinates (a comoving frame). A method for approximation
of the integral smooth volume conservation law is discussed. An extension technique is suggested for development of smooth
volume schemes. For hyperbolic systems, smooth volume upwind and Godunov schemes with monotonic reconstruction are derived.
The schemes are applied to equations of gas dynamics and tested for three gas-dynamics shock tube problems. The solutions
are monotonic and precise.
This article was submitted by the author in English. 相似文献
10.
Janusz J. Charatonik 《Rendiconti del Circolo Matematico di Palermo》1999,48(3):401-418
In this paper we to define and study a class of metric continua called ultra smooth, which (by the definition) form a subclass
of the class of continua being hereditarily unicoherent at some point. The major result is that every ultra smooth continuum
is smooth. 相似文献
11.
12.
We consider homomorphisms between abstract, topological, and smooth generalized polygons. It is shown that a continuous homomorphism is either injective or locally constant. A continuous homomorphism between smooth generalized polygons is always a smooth embedding. We apply this result to isoparametric submanifolds.Dedicated to Prof. Dr. H. R. Salzmann on the occasion of his 65th anniversary 相似文献
13.
Ya Ping Fang Nan Jing Huang Xiao Qi Yang 《Journal of Optimization Theory and Applications》2012,155(3):810-839
In this paper, we establish the equivalence between the half-space representation and the vertex representation of a smooth parametric semiclosed polyhedron. By virtue of the smooth representation result, we prove that the solution set of a smooth parametric piecewise linear program can be locally represented as a finite union of parametric semiclosed polyhedra generated by finite smooth functions. As consequences, we prove that the corresponding marginal function is differentiable and the solution map admits a differentiable selection. 相似文献
14.
在对非线性控制系统全局镇定的研究中 ,Byrness,Isidori讨论了光滑非线性系统的光滑反馈与全局正则型的等价条件 ;Kokotovic,Sussmann则在讨论了全局镇定的正实条件后 ,得到了一个判定系统为全局光滑可镇定的重要条件 .本文则考察一类正则型控制系统 ,通过变换系统和构造全局反馈镇定律的方法 ,得到全局光滑镇定 相似文献
15.
通过分析城市交通畅通性的影响因素及其与ITS(智能交通系统)的关系,挖掘ITS对城市交通畅通性的贡献率指标.搜集实证研究对象数据,采用灰色预测模型预测贡献率指标的数值,将ITS示范工程实施前后的数值进行对比,计算得到ITS示范工程对城市交通畅通性的贡献率.由贡献率结果判断ITS示范工程对城市交通畅通性的作用及ITS示范工程的实施效果如何,为未来ITS的发展提供相应的参考建议. 相似文献
16.
微分方程光滑线性化的研究,目前仅限于原点近傍的小邻域,本文给出了一个全局光滑线性化的结论.全局拓扑线性化或全局光滑线性化的先决条件是任一解的存在区间为全实轴.因此,本文也讨论了Wintner定理的推广问题. 相似文献
17.
We prove that the dg category of perfect complexes on a smooth, proper Deligne–Mumford stack over a field of characteristic zero is geometric in the sense of Orlov, and in particular smooth and proper. On the level of triangulated categories, this means that the derived category of perfect complexes embeds as an admissible subcategory into the bounded derived category of coherent sheaves on a smooth, projective variety. The same holds for a smooth, projective, tame Artin stack over an arbitrary field. 相似文献
18.
Gary M. Lieberman 《Annali dell'Universita di Ferrara》2011,57(1):121-172
We study a class of second elliptic equations whose highest order coefficients vanish everywhere on the boundary. Under suitable
conditions on the lower order coefficients, Langlais proved in 1985 that such equations have unique smooth solutions up to
the boundary provided the data are smooth enough. Our goal here is to prove some Schauder estimates for these equations and
to obtain results even in Lipschitz domains. In addition, we show that bounded solutions of such problems are as smooth as
the data allow. A key step is to observe that smooth solutions must satisfy an oblique derivative boundary condition. 相似文献
19.
V. I. Zabotin T. F. Minnibaev 《Computational Mathematics and Mathematical Physics》2008,48(2):242-250
The convergence of the method of feasible directions is proved for the case of the smooth objective function and a constraint in the form of the difference of convex sets (the so-called preconvex set). It is shown that the method converges to the set of stationary points, which generally is narrower than the corresponding set in the case of a smooth function and smooth constraints. The scheme of the proof is similar to that proposed earlier by Karmanov. 相似文献
20.
Very Convex Banach Spaces 总被引:7,自引:0,他引:7
VeryConvexBanachSpacesTegusi(特古斯)Suyalatu(苏雅拉图)(DepartmentofMathematics,InnerMongoliaNormalUniversity,Huhhot,010022)LiYongjin... 相似文献